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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
Step1: Recall 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 given radius into the formula
Given \(r = 12\) cm, we substitute 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 \(A=144\times3.14159 = 452.389\).
Step4: Round to the nearest whole number
Rounding \(452.389\) to the nearest whole number gives \(452\).
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\(452\)