If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Sun Feb 14, 2021 11:58 am

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If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to

A) 0.25
B) 0.32
C) 0.45
D) 0.5
E) 0.65

Answer: B

Source: Economist

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Source: Beat The GMAT — Problem Solving | Sun Feb 14, 2021 11:58 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8175; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to

by Scott@TargetTestPrep » Tue Feb 23, 2021 3:33 pm

Vincen wrote: ↑
Sun Feb 14, 2021 11:58 am
If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to

A) 0.25
B) 0.32
C) 0.45
D) 0.5
E) 0.65

Answer: B

Solution:

Let’s let r = the radius of the circle, in feet, and we can create the equation:

πr^2 = r

Dividing both sides by r (since r can’t be 0), we have:

πr = 1

r = 1/π ≈ 0.32

Answer: B

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Founder and CEO
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