Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the diameter of a circle is 22 m. find its area to the nearest whole nu…

Question

the diameter of a circle is 22 m. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 22 \) m, so \( r=\frac{d}{2}=\frac{22}{2} = 11 \) m.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 11 \) into the formula: \( A=\pi\times11^{2}=\pi\times121\approx3.14159\times121\approx380.13 \). Rounding to the nearest whole number gives \( 380 \).

Answer:

\( 380 \) square meters