Question

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

Explanation:

Step1: Find the radius

The radius \( r \) is half of the diameter. Given diameter \( d = 22\) cm, so \( r=\frac{d}{2}=\frac{22}{2}=11\) cm.

Step2: Substitute into the area formula

The formula for the area of a circle is \( A=\pi r^{2}\). Substitute \( r = 11\) cm and \(\pi=3.14\) into the formula: \(A = 3.14\times11^{2}\).
First, calculate \(11^{2}=11\times11 = 121\). Then, \(A=3.14\times121\).
\(3.14\times121=(3 + 0.14)\times121=3\times121+0.14\times121=363+16.94 = 379.94\).
Rounding \(379.94\) to the nearest tenth gives \(379.9\).

Answer:

\(379.9\)