Question

the round temperature dial on a thermostat has a radius of 3 centimeters. what is the dials area? if necessary, round your answer to the nearest hundredth. square centimeters submit work it out not feeling ready yet? these can help:

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 \( r = 3 \) centimeters. Substitute \( r=3 \) into \( A=\pi r^{2} \), we get \( A=\pi\times(3)^{2}=\pi\times9 \).

Step3: Calculate the value

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

Step4: Round to the nearest hundredth

Rounding \( 28.27431 \) to the nearest hundredth (two decimal places), we look at the third decimal digit. Since \( 4<5 \), we keep the second decimal digit as it is. So \( A\approx28.27 \).

Answer:

\( 28.27 \)