Question

question
the diameter of a circle is 3 in. find its area to the nearest hundredth.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 3\) in, so \(r=\frac{d}{2}=\frac{3}{2}=1.5\) in.

Step2: Use the area formula

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 1.5\) into the formula: \(A=\pi\times(1.5)^{2}\).

$$
LATEXBLOCK0
$$

Step3: Round to the nearest hundredth

Rounding \(7.0685775\) to the nearest hundredth (two - decimal places). The third decimal digit is \(8\gt5\), so we round up the second decimal digit. \(7.0685775\approx7.07\)

Answer:

\(7.07\) square inches