Question

Find the diameter of a circle with an area of 676pi square centimeters

Answer 1

d = 48 cm

Explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 576π cm² , then

πr² = 576π ( divide both sides by π )

r² = 576 ( take square root of both sides )

`√(r^2)` =
`√(576)` , then

r = 24

Now the diameter (d) is twice the radius , so

diameter d = 2 × 24 = 48 cm