Question

calculate the area of the circle. formula: a = πr² use 3.14 for pi. a = ? cm² round to the nearest tenth.

Explanation:

Step1: Find the radius

The radius \( r \) is half of the diameter. Given diameter \( d = 6\) cm, so \( r=\frac{d}{2}=\frac{6}{2}=3\) cm.

Step2: Calculate the area

Use the formula \( A=\pi r^{2}\). Substitute \( r = 3\) cm and \( \pi=3.14\). Then \( A = 3.14\times3^{2}=3.14\times9 = 28.26\) \(cm^{2}\). Rounding \( 28.26\) to the nearest tenth gives \( 28.3\) \(cm^{2}\).

Answer:

\(28.3\) \(cm^{2}\)