Question

find the area of sector whose radius is 7 centimetres with the angle 60°

Answer 1

Solution :

Given Radius of the sector ( r ) = 7 cm

sector angle ( x ) = 60°

Area of the sector = (x/360°)×πr²

= ( 60/360 ) × ( 22/7 ) × 7 × 7

= ( 1/6 ) × 22 × 7

= 77/3 cm ²

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Answer 2

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✯ Given :

Angle of sector ($\sf{\theta})$ = 60°

Radius (r) = 7 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.

$\large{\boxed{\boxed{\sf{Area = \frac{\theta}{360^{\circ}} \pi r^2}}}} \\ \\ \small{\gray{\underline{\sf{\dag \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Put \: Values \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \dag}}}} \\ \\ \sf{\implies Area = \frac{\cancel{60}}{\cancel{360}} \times \frac{22}{7} \times 7 \times 7} \\ \\ \sf{\implies Area = \frac{1}{\cancel{6}} \times \frac{\cancel{22}}{\cancel{7}} \times \cancel{7} \times 7} \\ \\ \sf{\implies Area = \frac{11}{3} \times 7} \\ \\ \sf{\implies Area = \frac{77}{3}} \\ \\ \sf{\implies Area = 25.67} \\ \\ \sf{\therefore \: Area \: of \: sector \: is \: 25.67 \: cm^2.}$