Question

a find the area covered by the rack using an appropriate two - dimensional model. round your answer to the nearest tenth of a square inch.
b approximate the area covered by a single ball to the nearest tenth of a square inch.

Explanation:

Step1: Assume balls are circles

We consider a bill - iard ball as a circle for area calculation.

Step2: Use the area formula for a circle

The area formula of a circle is $A = \pi r^{2}$. In a standard set of bill - iard balls, the diameter $d$ of a ball is about 2.25 inches, so the radius $r=\frac{d}{2}=\frac{2.25}{2}=1.125$ inches.

Step3: Calculate the area

Substitute $r = 1.125$ into the formula $A=\pi r^{2}$. So $A=\pi\times(1.125)^{2}\approx3.14\times1.265625\approx3.98\approx4.0$ square inches.

Answer:

4.0 square inches