Math, asked by tarudhange, 2 months ago

Circle
55
1. Find the area of shaded portion if radius of circle is 35 mm Mm
and mZPOQ = 72°
cm.
1) 720 sq.mm.2) 770 sq.mm.
4) 550 sq.mm.
3) 350 sq.mm.

Answers

Answered by SilverShades157
0

Answer:

770

Step-by-step explanation:

⇒ Here, r=35cm and θ=72

o

[ Given ]

⇒ Length of an arc =

360

o

θ

(2πr)

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

⇒ Length of an arc =

360

o

72

o

×2×

7

22

×35

∴ Length of an arc =44cm

⇒ Area of the sector =

360

o

θ

(πr

2

)

Where, θ is angle subtended at a center.

πr

2

is area of a circle.

⇒ Area of the sector =

360

o

72

o

×

7

22

×(35)

2

∴ Area of the sector =770cm

2

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