Question

. Find the area of the sector of the circle of radius 35 cm , if the angle of the sector is 720

Answer 1

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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