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What is the area of a sector of a circle with a radius of 6 cm and a 60° angle?

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1327 c m 2

1347 c m 2

1329 c m 2

1349 c m 2

answer is A.

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Detailed Solution

Given that a sector of a circle with a radius of 6 cm and a 60° angle.
The area of a sector of angle

θ

is given by

θ 360 × π r 2

.
where r is the radius of the circle and θ the angle of the sector in degrees.
Question Image

Radius of the circle, r

= 6 c m

Angle of the circle, θ

= 60 °

Area of the sector OCAD

⇒ A r e a = 60360 × π (6) 2 ⇒ A r e a = 16 × 227 × 6 × 6 ⇒ A r e a = 227 × 6 ⇒ A r e a = 1327 c m 2

Area of a sector of a circle

= 1327 c m 2

Therefore the answer is option (1).

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