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STALIN [3.7K]
3 years ago
7

A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

Answer:

Area of shaded region is 141.3 square inches

Step-by-step explanation:

It is given that,

A circle has an 18-inch radius and a shaded sector with a central angle of 50°

Area of circle = πr²

<u>To find the area of circle</u>

Area of circle = πr² = 3.14*18²  = 3.14 * 18 * 18

Area =  1017.36 square inches

<u>To find the part of shaded region</u>

central angle of shaded region is 50°.

part of sector = 50/360 = 5/36

<u>To find the area of shaded region</u>

area of shaded region is 5/36th of total area of circle

Area of shaded region = 5/36(1017.36) = 141.3 square inches

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