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Question
the circumference of a circle is 18.84 millimeters. what is the circles area? round your answer to the nearest hundredth. square millimeters submit work it out not feeling ready yet? these can help: area of circles circumference of circles lesson: area of circles practice in the app open ixl.com
Step1: Find the radius from the circumference
The formula for the circumference of a circle is \(C = 2\pi r\). Given \(C=18.84\) mm, we solve for \(r\):
\(r=\frac{C}{2\pi}=\frac{18.84}{2\times3.14}\)
\(r = 3\) mm.
Step2: Calculate the area of the circle
The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 3\) into the formula:
\(A=3.14\times3^{2}=3.14\times9 = 28.26\) square millimeters.
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\(28.26\)