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The diameter of a circle is 18 inches. What is the area of a sector bounded by a 30° arc?

User IGHOR
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1 Answer

4 votes

Answer:
6.75\pi inches^2

Explanation:

If the diameter is 18 inches, the radius must be 18/2 = 9 inches.

Thus, we can calculate the area using the area of a circle =
\pi r^(2).

Plugging in the values, we get the area =
81\pi inches^2.

Since 30 degrees is 1/12 of 360 degrees, a 30-degree sector would be equal to 1/12 the area of the circle.

Therefore, we divide
81\pi/12 to get the area of the sector =
6.75\pi inches^2.

User DFayet
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