Praxis Core: 1,001 Practice Questions For Dummies
Book image
Explore Book Buy On Amazon
When you take the Praxis Core exam, it pays to have a well-rounded knowledge of circles—especially their area and circumference. In the following practice questions, you work both backwards (finding a circle's radius given its circumference) and forward (finding a circle's area given its radius).

Practice questions

  1. A circle has a circumference of 20π in.

    What is the radius of the circle?

    A. 4.5 in. B. 15 in. C. 10 in. D. 20 in. E. 17.5 in.


  2. The two circles have congruent radii. If the radius of one circle is 3 m, what is the area of the other circle, rounded to the nearest hundredth?

    A.m2 B. 18 π m2 C. 14.31 m2 D. 28.26 m2 E. 18.35 m2

Answers and explanations

  1. The correct answer is Choice (C).

    The circumference of a circle is 2 times pi times the radius. You can use the formula for circumference, fill in what you know, and solve for r, the radius of the circle:


    The radius of the circle is 10 in.

  2. The correct answer is Choice (D). The circles' radii are congruent, which means they have the same measure. Because one circle's radius is 3 m, the circle in question has a radius of 3 m. You can use the formula for the area of a circle:


    Because pi rounded to the nearest hundredth is 3.14, you can multiply 9 by 3.14:

    9 × 3.14 = 28.26

    The area of the circle, rounded to the nearest hundredth, is 28.26 m2.

About This Article

This article is from the book:

About the book authors:

Carla Kirkland, founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.

Chan Cleveland, executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.

This article can be found in the category: