A horse is tied to a corner peg of a rectangular field measuring 15 m by 12 m with a rope 7 m long. Find the area (in m²) of the region it can graze. Take π = 22/7.

Question

Accepted Answer

38.5. At a corner the horse sweeps a quarter circle of radius 7 m (the rope is shorter than both sides). Area = (1/4) × (22/7) × 49 = 38.5 m².

A horse is tied to a corner peg of a rectangular field measuring 15 $m$ by 12 $m$ with a rope 7 $m$ long. Find the area (in $m^{2}$ ) of the region it can graze. Take π = 22/7.

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More Areas & Volumes practice

A horse is tied to a corner peg of a rectangular field measuring 15 m by 12 m with a rope 7 m long. Find the area (in m2) of the region it can graze. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A horse is tied to a corner peg of a rectangular field measuring 15 $m$ by 12 $m$ with a rope 7 $m$ long. Find the area (in $m^{2}$ ) of the region it can graze. Take π = 22/7.