Find the circumference of a circular window if the area is 100pi sq units

For this problem, using the area of the circle, we have to work backwards to find the radius to find the circumference

The area of the circle (A) = 100π units

A = 100π

The formula for area of a circle

A = πr²

Since we know what A is, lets plug it into the equation for area of a circle to solve for r

100π = πr²

Divide π from both sides to cancel them out

100 = r²

Take the square root of both sides to isolate r, the radius

r = 10

Now that we know what r is, let's plug it into the equation for the circumference of a circle

Circumference = 2πr

= 2π(10)

Multiply 2 and 10, because both are like terms

Circumference of the window = 20π

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