Multiple choice

Find the radius of circle if its area is $125\pi cm^2$

  1. $5\sqrt 5cm$
  2. $3\sqrt 3cm$ 
  3. $2\sqrt 2cm$

  4. none
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A Correct answer
Explanation

Area = pi * r^2 = 125 * pi. Thus, r^2 = 125, so r = sqrt(125) = sqrt(25 * 5) = 5 * sqrt(5).

AI explanation

Using the area of a circle formula, Area = pi * r^2, we set 125 * pi = pi * r^2. Dividing both sides by pi leaves r^2 = 125. Taking the square root of 125 gives r = 5 times the square root of 5 cm. The result is 5 times the square root of 5 cm.

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