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3 years ago

Find area of the shaded region.

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

area of shaded portion = 226.09 m²

Step-by-step explanation:

area of circle = πr² = (3.14)(18.6²) = 1086.314 m²

area of 123° segment = (123/360)(1086.314) = 371.157 m²

cos 61.5° = height/18.6 = 8.875

height of triangle = 8.875 m

sin 61.5° = 1/2base/18.6 = 16.346, base = 32.692 m

base of triangle = 32.692 m

area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²

area of shaded portion = 371.157 - 145.071 = 226.09 m²

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