How to find the length of a radius

Practice Questions

PSAT Math › How to find the length of a radius

Questions
10
1

In a large field, a circle with an area of 144_π_ square meters is drawn out. Starting at the center of the circle, a groundskeeper mows in a straight line to the circle's edge. He then turns and mows ¼ of the way around the circle before turning again and mowing another straight line back to the center. What is the length, in meters, of the path the groundskeeper mowed?

2

Two concentric circles have circumferences of 4π and 10π. What is the difference of the radii of the two circles?

3

A circle has an area of 36π inches. What is the radius of the circle, in inches?

4

Circle X is divided into 3 sections: A, B, and C. The 3 sections are equal in area. If the area of section C is 12π, what is the radius of the circle?

Act_math_170_02

Circle X

5

In the figure above, rectangle ABCD has a perimeter of 40. If the shaded region is a semicircle with an area of 18π, then what is the area of the unshaded region?

6

A certain circle has a circumference (in units) that is two times the area (in units squared). What is the radius of the circle?

7

Consider a circle centered at the origin with a circumference of 13\pi. What is the x value when y = 3? Round your answer to the hundreths place.

8

A circle has an area of . What is the radius of the circle, in inches?

9

The specifications of an official NBA basketball are that it must be 29.5 inches in circumference and weigh 22 ounces. What is the approximate radius of the basketball?

10

A circle with center (8, **–**5) is tangent to the y-axis in the standard (x,y) coordinate plane. What is the radius of this circle?

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