Question

the radius of a circle is 10 centimeters. what is the area?
give the exact answer in simplest form.
square centimeters

Explanation:

Step1: Write 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 value of the radius into the formula

Given \(r = 10\) cm. Substitute \(r = 10\) into \(A=\pi r^{2}\), we get \(A=\pi\times(10)^{2}\).

Step3: Calculate the value

\((10)^{2}=10\times10 = 100\), so \(A = 100\pi\).

Answer:

\(100\pi\)