Jujubug2008
Answered

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Any help would be great :)))

Any Help Would Be Great class=

Sagot :

olumideolawoyin

Answer:

38.1 cm²

Step-by-step explanation:

Area of the sector = centre angle / 360⁰ × πr² (take π = 3.14)

Area of the sector = 150⁰/360⁰ × 3.14 × 6²

Area of the sector = 150⁰/360⁰ × 3.14× 36

Area of the sector = 47.1 cm²

Area of the triangle = 1/2 × ab × sin (centre angle), where a = b = 6cm.

Area of the triangle = 1/2 × 6 × 6 × sin 150⁰

Area of the triangle = 6 × 3 × sin 30⁰

Area of the triangle = 6 × 3 × 1/2

Area of the triangle = 3 × 3

Area of the triangle = 9 cm²

Therefore,

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

Area of the shaded region = (47.1 - 9) cm²

Area of the shaded region = 38.1 cm²

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