Question

question
the radius of a circle is 12 cm. find its area to the nearest whole number.
answer attempt 1 out of 2
a = cm² submit answer

Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the value of the radius

Given \(r = 12\) cm. Substitute \(r = 12\) into the formula: \(A=\pi\times(12)^{2}\).
First, calculate \((12)^{2}=144\). So, \(A = 144\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14159\), then \(A=144\times3.14159\).
\(144\times3.14159 = 452.389\).

Step4: Round to the nearest whole number

Rounding \(452.389\) to the nearest whole number. Since the decimal part \(0.389<0.5\), we get \(A\approx452\).

Answer:

\(452\)