Question

the radius of a circle is 1 inch. what is the area? give the exact answer in simplest form. square inches

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 1 \) inch. Substituting \( r = 1 \) into the formula \( A = \pi r^2 \), we get \( A = \pi (1)^2 \).

Step3: Simplify the expression

Simplifying \( \pi (1)^2 \), we know that \( 1^2 = 1 \), so \( A = \pi \times 1=\pi \).

Answer:

\(\pi\) square inches