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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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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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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