Circles

Practice Questions

ACT Math Test › Circles

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Screen shot 2020 09 15 at 3.21.56 pm

Rectangle ABCD is inscribed in a circle with center X. If the area of the rectangle is eight times its width, and the distance from X to side AB is three, what is the approximate circumference of the circle?

2

Screen shot 2020 09 15 at 3.21.56 pm

Rectangle ABCD is inscribed in a circle with center X. If the area of the rectangle is eight times its width, and the distance from X to side AB is three, what is the approximate circumference of the circle?

3

Semicircle

The area of the semicircle above is . What is the length of the arc connecting points A and B?

4

A circle has an area of . What is its circumference?

5

Semicircle

The area of the semicircle above is . What is the length of the arc connecting points A and B?

6

Screen shot 2020 09 29 at 11.36.22 am

The above figure shows a circle on the coordinate axes with its center at the origin. The shaded region has area .

Give the equation of the circle.

7

A circle has an area of . What is its circumference?

8

Screen shot 2020 09 29 at 11.36.22 am

The above figure shows a circle on the coordinate axes with its center at the origin. The shaded region has area .

Give the equation of the circle.

9

Arcbc

In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?

10

Arcbc

In the circle above, centered on point O, angle AOB measures 40 degrees. If line segment BD measures 18 inches, what is the measure, in inches, of minor arc BC?

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