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A farm of wheat is in the shape of a sector having a right-angled notch and a length of 28m. The farmer tied a cow at the corner with the rope having a height of 1/4 of the maximum height of the farm. The cow has grazed the portion till where it could reach. Find the loss of farmer during selling the wheat.

A farm of wheat is in the shape of a sector having a right-angled notch and a length of 28m. The farmer tied a cow at the corner with the rope having a height of 1/4 of the maximum height of the farm. The cow has grazed the portion till where it could reach. Find the loss of farmer during selling the wheat. Correct Answer 6.25%

Calculations :

Height/Radius of the grazed area = 1/4 × 28 = 7 m

Area of total farm = 90°/360° × π × 282 = 616 m2

Area of grazed farm = 90°/360° × π × 72 = 38.5 m2

Loss% = 6.25%

Additional Information

Maximum height of the sector = Radius

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