Circles: Interactive Quizzes and Practice Questions

Question 1

Which property does NOT belong to a circle?

Accepted Answer

The circumference of a circle is always less than its diameter.

Answer

A circle has a constant radius.

Answer

A circle can be inscribed in a square.

Question 2

What is the diameter of a circle with a radius of 5 cm?

Accepted Answer

10 cm

Answer

2.5 cm

Answer

5 cm

Answer

25 cm

Question 3

Which of the following is a chord of a circle?

Accepted Answer

A line segment that connects two points on the circle

Answer

A line segment that passes through the center of the circle

Answer

A line that intersects the circle at exactly one point

Answer

A line that does not intersect the circle

Question 4

Which of the following is the equation of a circle with center (2, 3) and radius 5?

Accepted Answer

(x - 2)² + (y - 3)² = 25

Answer

(x + 2)² + (y + 3)² = 5

Answer

(x - 3)² + (y - 2)² = 25

Answer

(x + 3)² + (y + 2)² = 5

Question 5

What is the measure of the angle formed by two radii drawn to the endpoints of a diameter?

Accepted Answer

180°

Answer

30°

Answer

60°

Answer

90°

Question 6

What is the diameter of a circle?

Accepted Answer

The distance across the circle through the center

Answer

The distance from the center to any point on the circle

Answer

Half the length of a chord

Answer

The distance from the center to a tangent

Question 7

What is the formula for the area of a circle?

Accepted Answer

A = πr^2

Answer

A = 2πr^2

Answer

A = 4πr^2

Answer

A = πd^2

Question 8

A circle has a radius of 5 centimeters. What is its circumference?

Accepted Answer

20π cm

Answer

10π cm

Answer

25π cm

Answer

50π cm

Question 9

A circle has an area of 25π square centimeters. What is its radius?

Accepted Answer

10 cm

Answer

5 cm

Answer

15 cm

Answer

20 cm

Question 10

A circle is defined as the set of all points that are equidistant from a specific point called the:

Accepted Answer

center

Answer

radius

Answer

diameter

Answer

chord

Question 11

The radius of a circle is half its:

Accepted Answer

diameter

Answer

circumference

Answer

area

Answer

chord

Question 12

A line segment connecting two points on a circle and passing through its center is called a:

Accepted Answer

diameter

Answer

chord

Answer

radius

Answer

tangent

Question 13

The formula for calculating the circumference of a circle is:

Accepted Answer

C = 2πr

Answer

C = πr²

Answer

C = 4πr

Answer

C = πd

Question 14

The formula for calculating the area of a circle is:

Accepted Answer

A = πr²

Answer

A = 2πr

Answer

A = 4πr

Answer

A = πd²

Question 15

A line that touches a circle at exactly one point and is perpendicular to the radius at that point is called a:

Accepted Answer

tangent

Answer

chord

Answer

diameter

Answer

radius

Question 16

The Pythagorean theorem states that in a right triangle, the square of the length of the:

Accepted Answer

hypotenuse is equal to the sum of the squares of the other two sides

Answer

hypotenuse is equal to the difference of the squares of the other two sides

Answer

shorter leg is equal to the sum of the squares of the other two sides

Answer

longer leg is equal to the difference of the squares of the other two sides

Question 17

In a right triangle with legs of length 3 cm and 4 cm, the length of the hypotenuse is:

Accepted Answer

7 cm

Answer

5 cm

Answer

9 cm

Answer

11 cm

Question 18

The area of a triangle with a base of 6 cm and a height of 8 cm is:

Accepted Answer

24 cm²

Answer

12 cm²

Answer

36 cm²

Answer

48 cm²

Question 19

The volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm is:

Accepted Answer

30 cm³

Answer

20 cm³

Answer

60 cm³

Answer

90 cm³

Question 20

If a circle has a diameter of 10 inches, what is its radius?

Accepted Answer

5 inches

Answer

10 inches

Answer

25 inches

Answer

50 inches

Question 21

Which of the following is a tangent to a circle?

Accepted Answer

A line that touches the circle at exactly one point

Answer

A line that intersects the circle at multiple points

Answer

A line that passes through the center of the circle

Answer

A line that is parallel to the circle

Question 22

What is a sector of a circle?

Accepted Answer

A region bounded by two radii and their intercepted arc

Answer

A region bounded by a chord and its intercepted arc

Answer

A region bounded by two tangents and their intercepted arc

Answer

A region bounded by a diameter and its intercepted arc

Question 23

How many degrees are there in a semicircle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 24

Which property does NOT belong to a circle?

Accepted Answer

Has parallel sides

Answer

Has a constant radius

Answer

Has a circumference

Answer

Has a center point

Question 25

What is the diameter of a circle with a radius of 6 cm?

Accepted Answer

12 cm

Answer

3 cm

Answer

6 cm

Answer

36 cm

Question 26

Which of the following is a tangent to a circle?

Accepted Answer

A line that touches the circle at one point without intersecting

Answer

A line that intersects the circle at two points

Answer

A line that is parallel to the circle

Answer

A line that is perpendicular to the circle

Question 27

When the arc length of a circle is half its circumference, what is the measure of the central angle that intercepts this arc?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Question 28

The formula for area of a circle is:

Accepted Answer

A = πr^2

Answer

A = 2πr

Answer

A = 4/3πr^3

Answer

A = πd^2

Question 29

Define a chord of a circle.

Accepted Answer

A line segment connecting any two points on the circumference

Answer

A line segment passing through the center of the circle

Answer

A line segment tangent to the circle

Answer

A line segment perpendicular to the radius

Question 30

Define a tangent line to a circle.

Accepted Answer

A line intersecting the circle at only one point

Answer

A line passing through the center of the circle

Answer

A line parallel to the radius

Answer

A line perpendicular to the chord

Question 31

A circle has a radius of 5 cm. Its diameter is:

Accepted Answer

10 cm

Answer

2.5 cm

Answer

5 cm

Answer

25 cm

Question 32

Which of the following statements about circles is incorrect?

Accepted Answer

The sides of a circle are parallel lines.

Answer

Circles are closed figures.

Answer

Circles have one center point.

Answer

The radius of a circle is constant.

Question 33

What is the term for the distance from the center of a circle to any point on the circle?

Accepted Answer

Radius

Answer

Diameter

Answer

Chord

Answer

Tangent

Question 34

Which type of line touches a circle at only one point?

Accepted Answer

Tangent

Answer

Diameter

Answer

Chord

Answer

Radius

Question 35

Which of the following shapes is similar to a circle?

Accepted Answer

Ellipse

Answer

Square

Answer

Rectangle

Answer

Triangle

Question 36

What is the definition of a circle?

Accepted Answer

A closed figure consisting of all points equidistant from a fixed point, called the center.

Answer

A closed figure with four equal sides.

Answer

A closed figure with three equal sides.

Answer

A closed figure with five equal sides.

Question 37

What is the diameter of a circle?

Accepted Answer

The distance across the circle through its center.

Answer

The distance across the circle not through its center.

Answer

Half the distance across the circle through its center.

Answer

Twice the distance across the circle not through its center.

Question 38

A tangent is drawn to a circle from a point outside the circle. Which of the following is true about the tangent?

Accepted Answer

It is perpendicular to the radius at the point of tangency.

Answer

It is parallel to the radius at the point of tangency.

Answer

It intersects the circle at two points.

Answer

It passes through the center of the circle.

Question 39

A circular garden has a radius of 12 feet. If you want to put a fence around the garden, how many feet of fencing do you need?

Accepted Answer

24π feet

Answer

12π feet

Answer

48π feet

Answer

75.36 feet

Question 40

What is the precise definition of a circle?

Accepted Answer

The set of all points in a plane that are equidistant from a fixed point called the center.

Answer

A three-dimensional shape with a circular base and a curved surface.

Answer

A two-dimensional shape with a curved perimeter and no corners.

Question 41

What is the radius of a circle?

Accepted Answer

The distance from the center to any point on the circle.

Answer

Half the length of the longest chord in the circle.

Answer

The distance across the circle through its center.

Question 42

Which of the following is NOT a characteristic of a circle?

Accepted Answer

It has four perpendicular sides.

Answer

All radii are equal in length.

Answer

It is a closed figure.

Answer

It is symmetrical about its center.

Question 43

What is the formula for calculating the circumference of a circle with radius 'r'?

Accepted Answer

2πr

Answer

πr

Answer

πr^2

Answer

4πr

Question 44

What is the formula for calculating the area of a circle with radius 'r'?

Accepted Answer

πr^2

Answer

4πr

Answer

2πr

Answer

πr

Question 45

What is a chord of a circle?

Accepted Answer

A straight line segment that joins two points on the circle.

Answer

A straight line that intersects the circle at only one point.

Answer

A straight line that passes through the center of the circle.

Question 46

What is a tangent to a circle?

Accepted Answer

A straight line that intersects the circle at exactly one point.

Answer

A straight line segment that joins two points on the circle.

Answer

A straight line that passes through the center of the circle.

Question 47

If a circle has a diameter of 12 units, what is its radius?

Accepted Answer

6 units

Answer

24 units

Answer

12 units

Question 48

Which of the following is a practical application of circles in real life?

Accepted Answer

Designing wheels for vehicles.

Answer

Calculating the volume of a sphere.

Answer

Measuring the length of a rectangular prism.

Answer

Finding the centroid of a triangle.

Question 49

A circle has a radius of 5 cm. What is its diameter?

Accepted Answer

10 cm

Answer

25 cm

Answer

2.5 cm

Answer

5π cm

Question 50

Which of the following is a line segment that connects two points on a circle and passes through its center?

Accepted Answer

Diameter

Answer

Tangent

Answer

Chord

Answer

Radius

Question 51

Which type of line intersects a circle at exactly one point?

Accepted Answer

Tangent

Answer

Secant

Answer

Chord

Answer

Diameter

Question 52

What is the formula for calculating the circumference of a circle?

Accepted Answer

C = 2πr

Answer

C = dπ

Answer

C = πr^2

Answer

C = πd

Question 53

What is the formula for calculating the area of a circle?

Accepted Answer

A = πr^2

Answer

A = dπ

Answer

A = 2πr

Answer

A = πd^2

Question 54

What is the approximate circumference of a circle with a radius of 7 cm? (Use π ≈ 22/7)

Accepted Answer

44 cm

Answer

154 cm

Answer

14 cm

Answer

22 cm

Question 55

A circle has a diameter of 12 inches. What is its area? (Use π ≈ 3.14)

Accepted Answer

113.04 square inches

Answer

37.68 square inches

Answer

36 square inches

Answer

452.16 square inches

Question 56

A circular pizza has a diameter of 10 inches. What is the approximate area of the pizza? (Use π ≈ 3.14)

Accepted Answer

78.5 square inches

Answer

31.4 square inches

Answer

157 square inches

Answer

314 square inches

Question 57

A circular garden has a circumference of 25 meters. What is its approximate radius? (Use π ≈ 3.14)

Accepted Answer

3.98 meters

Answer

15.92 meters

Answer

12.5 meters

Answer

7.96 meters

Question 58

Which of the following statements is TRUE about the relationship between the diameter and the radius of a circle?

Accepted Answer

The diameter is twice the length of the radius.

Answer

The diameter and radius are always equal.

Answer

The radius is twice the length of the diameter.