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Areas of Combination of Plane Figures

If the adjoin...

Question

If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector? (Take $π = 22 / 7$ )

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Solution

Given figure is a quadrant of a circle. We have given radius of sector that is 10.5 cm. Arc AB subtended an angle of 60° at the centre of the circle.

Perimeter of the sector

Substituting the values we get,

Perimeter of the sector …… (1)

Now we will simplify equation (1) as shown below,

Now we will substitute.

Therefore, perimeter of the given sector is.

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Areas of Combination of Plane Figures

Standard X Mathematics

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