Question

explore the area of sectors of circles by following these steps. 1. what is the area of circle c? dropdown (diagram of circle c with center c and radius 3) check

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: Identify the radius of circle C

From the diagram, the radius \( r \) of circle C is 3.

Step3: Substitute the radius into the formula

Substitute \( r = 3 \) into the formula \( A = \pi r^2 \). We get \( A = \pi \times 3^2 \).

Step4: Calculate the value

First, calculate \( 3^2 = 9 \). Then, the area \( A = 9\pi \) (or approximately \( 28.27 \) if we use \( \pi \approx 3.14 \)).

Answer:

The area of circle C is \( 9\pi \) (or approximately \( 28.27 \)).