Jujubug2008
Answered

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Sagot :

olumideolawoyin

Answer:

192.4467 ft²

Step-by-step explanation:

Area of the major sector = centre angle / 360⁰ × πr²

Area of the sector = (360 - 100)⁰/360⁰ × 3.14 × 8.35²

Area of the sector = 260⁰/360⁰ × 3.14 × 69.7225

Area of the sector = 158.1151 ft²

Area of the triangle = 1/2 × ab × sin (centre angle), where a = b = 8.35ft.

Area of the triangle = 1/2 × 8.35²× sin 100⁰

Area of the triangle = 34.3316 ft²

Therefore,

Area of the shaded region = Area of the sector + Area of the triangle

Area of the shaded region = (158.1151 + 34.3316) ft²

Area of the shaded region = 192.4467 ft²

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