Answer
a) 3.99 ft
b) 3.19 in
c) 1.78 m
Work Step by Step
Radius of circle has the formula:
$r = \sqrt \frac{A}{\pi}$
a) Given the Area of 50 we plug in 50 into A
$r = \sqrt \frac{A}{\pi}$
$r = \sqrt \frac{50}{\pi}$
50 can also be written as 25 x 2 because they are the two factors of 50.
$r = \sqrt \frac{25 \times 2}{\pi}$
*** Square root of 25 is 5 because 5 x 5 = 25
$r = 5 \sqrt \frac{2}{\pi}$
We rewrite it as a decimal
r = 3.99 ft
b) Given the Area of 32 we plug in 32 into A
$r = \sqrt \frac{A}{\pi}$
$r = \sqrt \frac{32}{\pi}$
32 can also be written as 16 x 2 because they are the two factors of 32.
$r = \sqrt \frac{16 \times 2}{\pi}$
*** Square root of 16 is 4 because 4 x 4 = 16
$r = 4 \sqrt \frac{2}{\pi}$
We rewrite it as a decimal
r = 3.19 in
c) Given the Area of 10 we plug in 10 into A
$r = \sqrt \frac{A}{\pi}$
$r = \sqrt \frac{10}{\pi}$
We rewrite it as a decimal
r = 1.78 m
