Question

in circle c, ( r = 32 ) units.
what is the area of circle c?
( 256pi \text{ units}^2 )
( 32pi \text{ units}^2 )
( 64pi \text{ units}^2 )
( 1024pi \text{ units}^2 )

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 32\) units. Substitute \(r=32\) into \(A=\pi r^{2}\), we get \(A=\pi\times(32)^{2}\).

Step3: Calculate \((32)^{2}\)

\((32)^{2}=32\times32 = 1024\). So \(A = 1024\pi\) units².

Answer:

\(1024\pi\) units²