Question

fiona draws a circle with a diameter of 14 meters. what is the area of fiona’s circle?
○ ( 7pi , \text{m}^2 )
○ ( 14pi , \text{m}^2 )
○ ( 28pi , \text{m}^2 )
○ ( 49pi , \text{m}^2 )

Explanation:

Step1: Find the radius

The diameter \( d = 14 \) meters, and the radius \( r=\frac{d}{2}\). So \( r = \frac{14}{2}=7 \) meters.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 7 \) into the formula: \( A=\pi\times7^{2}=\pi\times49 = 49\pi \) square meters.

Answer:

\( 49\pi\space m^{2} \) (corresponding to the option: 49π m²)