Q:

Use the formula to find the length of the radius if the area is 25 square centimeters.Round your final answer to the nearest tenth of a centimeter. [tex]\sqrt{\frac{a}{\pi }[/tex]A circle has radius r. The area of this circle can be found using the formula[tex]A=\pi r^{2}[/tex]

Accepted Solution

A:
Answer:r = 2.81 centimetersStep-by-step explanation:The area of this circle can be found using the formulaA=πr^2Where r = radius of the circle π is a constant whose value is 3.14We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formular^2 = A/πTaking square root of both sides of the equation, r = √A/πSince A = 25 and π = 3.14,r= √25/3.14r = 2.82166323992Approximating to the nearest tenth of a centimeter,r = 2.81 centimeters