Question

the diameter of a circle is 37 m. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 37\) m, so \(r=\frac{d}{2}=\frac{37}{2}=18.5\) m.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 18.5\) into the formula: \(A=\pi\times(18.5)^{2}\).
First, calculate \((18.5)^{2}=18.5\times18.5 = 342.25\). Then \(A=\pi\times342.25\). Using \(\pi\approx3.14\), we have \(A\approx3.14\times342.25\).
\(3.14\times342.25=(3 + 0.14)\times342.25=3\times342.25+0.14\times342.25\).
\(3\times342.25 = 1026.75\), \(0.14\times342.25=47.915\).
\(A\approx1026.75+47.915 = 1074.665\approx1075\) (rounded to the nearest whole number).

Answer:

\(1075\) m²