The area of a circle is 98.56 cm^2. Find it's circumference?

The area of a circle is 98.56 cm^2. Find it's circumference?

Explanation

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Given the area is 98.56 cm^2, we can set up the equation:

98.56 = πr^2

Now, divide both sides by π (approximately 3.14):

r^2 = 98.56 / 3.14

r^2 = 31.36

r = √31.36

r ≈ 5.6

Now that we have the radius, we can find the circumference using the formula:

C = 2πr

C ≈ 2 × 3.14 × 5.6

C ≈ 35.2

So, the circumference is approximately 35.2 cm.