Question

What is the best approximation of the length of the radius in a circle with an area of 167 m2?

a. 4.6 meters
b.4.0 meters
c. 2.3 meters
d.5.1 meters

Answer 1

r = 7.3 m

Explanation:

A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:

167 m^2

r^2 = -------------- = 53.158 m^2

3.14

Taking the square root of both sides, we get

r = 7.3 m

This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2