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When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.​

When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest-example-1
User Darline
by
5.4k points

1 Answer

4 votes

Answer:

730.88

Explanation:

Area of the entire circle = pi * r^2

r = 16

Area = 3.14 * 16^2

Area = 803.84

1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84

Area of 1/4 circle =

200.96

the area of the triangle

Area = 1/2 AG * G?

AG and G? are equal

Area = 1/2 * 16^2

Area = 128

Area of 1/4 circle - area of the triangle = area of the shaded portion

shaded portion = 200.95 - 128

Shaded Portion = 72.96

So the area of the unshaded part

unshaded = 803.84 - 72.96

Unshaded = 730.88

User Luiz Rodrigo
by
5.0k points