Jujubug2008idn
Answered

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I just need to find the area of shaded region I kinda got off track a little bit of help and asap

I Just Need To Find The Area Of Shaded Region I Kinda Got Off Track A Little Bit Of Help And Asap class=

Sagot :

Olumideolawoyinidn

Answer:

47.2075 cm²

Step-by-step explanation:

Area of the sector = centre angle / 360⁰ × πr² (take π = 22/7)

Area of the sector = 129⁰/360⁰ × 22/7 × 8²

Area of the sector = 129⁰/360⁰ × 22/7 × 64

Area of the sector = 72.0762 cm²

Area of the triangle = 1/2 × ab × sin (centre angle), where a = b = 8cm.

Area of the triangle = 1/2 × 8× 8 × sin 129⁰

Area of the triangle = 8 × 4 × sin 129⁰

Area of the triangle = 32sin129⁰

Area of the triangle = 24.8687 cm²

Therefore,

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

Area of the shaded region = (72.0762 - 24.8687) cm²

Area of the shaded region = 47.2075 cm²

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