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Mathematics

Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.

Circles

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Answer

We know that,

Area of sector of angle θ = θ360°×πr2\dfrac{θ}{360°} \times πr^2

Substituting values we get :

⇒Area =60°360°×227×62=16×227×62=1327 cm2.\Rightarrow \text{Area } = \dfrac{60°}{360°} \times \dfrac{22}{7} \times 6^2 \\[1em] = \dfrac{1}{6} \times \dfrac{22}{7} \times 6^2 \\[1em] = \dfrac{132}{7} \text{ cm}^2.

Hence, area of sector of circle with radius 6 cm and angle of sector = 60° is 1327\dfrac{132}{7} cm2.

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