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The diameter of a circle is 6 centimeters. What is the area of a sector bounded by a 180° arc?Give the exact answer in simplest form. ____ square centimeters.

The diameter of a circle is 6 centimeters. What is the area of a sector bounded by-example-1
User Xronx
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1 Answer

13 votes
13 votes

We can use the formula below to find the area of the segment:


A=(1)/(2)\pi r^2

Since the diameter is given as 6 cm, the radius will be half of that, which is 3 cm.

Using π = 3.14, we can solve as


\begin{gathered} A=(1)/(2)*3.14*3^2 \\ A=(1)/(2)*3.14*9 \\ A=14.13\operatorname{cm}^2 \end{gathered}

Therefore, the area of the sector is 14.13 square centimeters.

User Nahydrin
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