Question

the diameter of a circle is 4 inches. what is the area? give the exact answer in simplest form. square inches

Explanation:

Step1: Find the radius

The diameter \( d = 4 \) inches. The radius \( r=\frac{d}{2}=\frac{4}{2} = 2 \) inches.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 2 \) into the formula: \( A=\pi\times(2)^{2}=\pi\times4 = 4\pi \) square inches.

Answer:

\( 4\pi \) square inches