Question

A horse is tethered to a peg with a 28 metre long repeat the corner of a 45 metre long and 25 metre wide rectangular grassfield. What area of field does the horse graze?

A 1226 m² Correct Answer Incorrect Answer
B 656 m² Correct Answer Incorrect Answer
C 616 m² Correct Answer Incorrect Answer
D 1256 m² Correct Answer Incorrect Answer
E 656 m² Correct Answer Incorrect Answer

Solution

As the horse is pegged at the corner of the rectangular field, it will graze the area of the field enclosed between the sides of the rectangle and the arc. Area of the field = `1/4` π r²= 1/4 × 22/7× 28 × 28 = 616 m²

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