Question

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

Answer 1

Answer:

60/360×22/7×6×6

22/7×6

18.857

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

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✯ Given :

Angle of sector ($\sf{\theta}$) = 60°

Radius (r) = 6 cm

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✯ To Find :

We have to find the area of the sector.

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✯ Solution :

We know the formula to find the area of the sector.

$\large{\boxed{\boxed{\sf{Area = \frac{\theta}{360^{\circ}} \pi r^2}}}} \\ \\ \small{\gray{\underline{\sf{\dag \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Put \: Values \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \dag}}}} \\ \\ \sf{\implies Area = \frac{\cancel{60}}{\cancel{360}} \times \frac{22}{7} \times 6 \times 6} \\ \\ \sf{\implies Area = \frac{1}{\cancel{6}} \times \frac{22}{7} \times \cancel{6} \times 6} \\ \\ \sf{\implies Area = \frac{22}{7} \times 6} \\ \\ \sf{\implies Area = \frac{132}{7}} \\ \\ \sf{\implies Area = 18.85} \\ \\ \sf{\therefore \: Area \: of \: sector \: is \: 18.85 \: cm^2.}$