Question

the saucer for sofias teacup has a radius of 3 centimeters. what is the saucers area? if necessary, round your answer to the nearest hundredth. square centimeters

Explanation:

Step1: Recall 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 of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 3\) cm. Substitute \(r = 3\) into \(A=\pi r^{2}\), we get \(A=\pi\times(3)^{2}\).
First, calculate \((3)^{2}=9\). So \(A = 9\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14159\), then \(A=9\times3.14159 = 28.27431\).

Step4: Round to the nearest hundredth

Rounding \(28.27431\) to the nearest hundredth (two - decimal places). The third decimal digit is \(4\), so we keep the second decimal digit as it is.

Answer:

\(28.27\)