﻿ Circle Worksheets | Problems & Solutions

# Circle Worksheets

Circle Worksheets
• Page 1
1.
Which figure can be formed by a set of points in a plane that are at the same distance from a point?
 a. rectangle b. circle c. square d. None of the above

#### Solution:

A circle is a set of points in a plane that are at the same distance from a given point, the center.

2.
William is at the center of a circular pond of diameter 124 yd. What is the least distance William has to swim to come out of the pond?
 a. 62 yd b. 61 yd c. 63 yd d. None of the above

#### Solution:

The least distance that William has to swim is the radius of the pond.

Radius = 124 / 2 = 62
[Substitute diameter = 124.]

The least distance that William has to swim to come out of the pond is 62 yd.

3.
The diameter of a circle is_____.
 a. The line segment joining two points on the circle and passing through its center. b. The line segment joining center and any point on the circle. c. The line segment joining any two points on the circle. d. None of the above

#### Solution:

The line segment joining any two points on the circle is a chord.

The line segment joining center and any point on the circle is radius.

The diameter of the circle is the line segment joining two points on the circle and passing through its center.

4.
If the radius of a circle is doubled, then what happens to its diameter?
 a. Halved b. Doubled c. No change d. None of the above

#### Solution:

Let r be the radius of a circle.

The diameter of the circle d = 2r.

The diameter of the circle = 2 × 2r = 2d

So, if the radius of the circle is doubled, the diameter also gets doubled.

5.
Identify the circle that has AB as its diameter.

 a. Figure 2 b. Figure 3 c. Figure 1 d. Figure 4

#### Solution:

A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.

In Figure 3, AB is a segment that passes through the center of a circle and has both endpoints on the circle.

Therefore, the circle in Figure 3 has AB as its diameter.

6.
Count the number of radii shown in the circle.

 a. 12 b. 6 c. 8 d. 4

#### Solution:

The distance from the center of the circle to any point on the circle is called the radius of the circle.

Therefore, there are 8 radii in the circle.

7.
Identify the chord of the circle.

 a. $\stackrel{‾}{\mathrm{DB}}$ b. $\stackrel{‾}{\mathrm{OE}}$ c. $\stackrel{‾}{\mathrm{OD}}$ d. $\stackrel{‾}{\mathrm{AC}}$

#### Solution:

A chord is a segment with end points on a circle.
[Defnition.]

In the figure AC is the chord.

8.
The Ferris wheel has a diameter of 206 ft. What is its radius?

 a. 98 ft b. 108 ft c. 103 ft d. 93 ft

#### Solution:

Diameter of the wheel is 206 ft

Radius of the wheel = 206 / 2 = 103 ft
[Divide each side by 2.]

9.
A set of points on a plane which are at the same distance from a fixed point will form a __________
 a. Quarilateral b. Triangle c. Circle d. Line

#### Solution:

A circle is a set of points in a plane that are at the same distance from a given point called center.

10.
If O is the center of the circle, then what is the radius of the circle?

 a. AC b. AB c. DC d. OA

#### Solution:

Radius is the distance from the center of the circle to any point on the circle.

In the figure, OA, OB, OC, and OD are the radii of the circle.