Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7) 7/2 ft. √7 ft.

Question

jasenka [17]

3 years ago

14

Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7) 7/2 ft. √7 ft.

0.5√(14) ft.

Mathematics

1 answer:

serious [3.7K] · Answer 1 · 2021-12-22T00:41:15+03:00

First of all, the two figures are equivalent. Find the area of the rectangle and you'll get the area of the circle

A(r) = A(c) = W*L = 2*11 = 22 ft²

A(c) = πr²

π = 22/7

So

22/7*r² = 22

Multiply both sides for 7/22 to get rid of the fraction.

7/22 * 22/7 * r² = 22 * 7/22

r² = 7

r = √7