Question

the radius of a circle is 6 cm. find its area to the nearest whole number.

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.

Step2: Substitute the value of the radius

Given \(r = 6\) cm. Substitute \(r = 6\) into the formula: \(A=\pi\times(6)^{2}=\pi\times36\).

Step3: Calculate the value

Taking \(\pi\approx3.14\), then \(A = 3.14\times36= 113.04\).

Step4: Round to the nearest whole number

Since \(0.04<0.5\), rounding \(113.04\) to the nearest whole number gives \(113\).

Answer:

\(113\)