Question

in circle v, r = 14ft. what is the area of circle v?
○ 14π ft²
○ 28π ft²
○ 49π ft²
○ 196π ft²

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 \( r = 14 \) ft. Substituting \( r = 14 \) into the formula \( A = \pi r^2 \), we get \( A=\pi\times(14)^2 \).

Step3: Calculate \( 14^2 \)

Calculating \( 14^2 \), we have \( 14\times14 = 196 \). So the area \( A = 196\pi \) square feet.

Answer:

\( 196\pi\ \text{ft}^2 \) (corresponding to the option: \( 196\pi\ \text{ft}^2 \))