Question

kiara is using a compass to navigate back to base camp. the compass has a diameter of 4 centimeters. what is the compasss 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: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 4\) cm, so \(r=\frac{d}{2}=\frac{4}{2}=2\) cm.

Step2: Use the area formula for a circle

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 2\) into the formula: \(A=\pi\times(2)^{2}\).
Since \(\pi\approx3.14\), then \(A = 3.14\times4=12.56\) square centimeters.

Answer:

12.56