Question

fiona draws a circle with a diameter of 14 meters. what is the area of fionas circle? 7πm² 54πm² 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: Use the area formula

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

Answer:

\(49\pi\space m^{2}\) (It seems there might be a typo in the options, as the correct area is \(49\pi\space m^{2}\))