Question

fiona draws a circle with a diameter of 14 meters. what is the area of fionas circle?
7πm²
14πm²
28πm²
49πm²

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 14$ meters, so $r=\frac{d}{2}=\frac{14}{2}=7$ meters.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 7$ into the formula, we get $A=\pi\times7^{2}=\pi\times49 = 49\pi$ square - meters.

Answer:

D. $49\pi\ m^{2}$