Question

question
the diameter of a circle is 14 cm. find its area in terms of π.

Explanation:

Step1: Find the radius

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

Step2: Calculate the area

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

Answer:

\(49\pi\) \(cm^{2}\)