The area of circle is 172.1 cm², then circumference of circle is _____?

The area of circle is 172.1 cm², then circumference of circle is _____?

Explanation

Given the area A = 172.1 cm², and the formula for the area of a circle is A = πr²:

Step 1: Find the radius

172.1 = πr²

r² = 172.1 / π

r² = 172.1 / (22/7)

r² = 172.1 * (7/22)

r² = 54.77

r ≈ √54.77

r ≈ 7.4

Step 2: Calculate the circumference

Circumference C = 2πr

C = 2 * (22/7) * 7.4

C ≈ 2 * 3.14 * 7.4

C ≈ 46.51