Question

a circular table top has a radius of 24 inches. what is the area of the table top, to the nearest square inch? use 3.14 for π. 75 in.² 151 in.² 7225 in.² 1809 in.²

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 given values

Given \(r = 24\) inches and \(\pi=3.14\), we substitute into the formula: \(A = 3.14\times24^{2}\).
First, calculate \(24^{2}=24\times24 = 576\).
Then, \(A=3.14\times576\).

Step3: Perform the multiplication

\(3.14\times576=(3 + 0.14)\times576=3\times576+0.14\times576\)
\(3\times576 = 1728\), \(0.14\times576=80.64\)
\(A=1728 + 80.64=1808.64\approx1809\) (rounded to the nearest square inch)

Answer:

\(1809\ \text{in}^{2}\)