Question

fiona draws a circle with a diameter of 14 meters. what is the area of fionas circle?
○ 7π m²
○ 14π m²
○ 28π m²
○ 49π m²

Explanation:

Step1: Find the radius of the circle

The diameter \( d = 14 \) meters. The radius \( r \) is half of the diameter, so \( r=\frac{d}{2}=\frac{14}{2} = 7 \) meters.

Step2: Use the formula for the area of a circle

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

Answer:

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