On a large ground, there is a straight tall vertical wall of length 28 m. A goat is tied to a point on the ground which is at the middle of the wall, using a rope. If the length of the rope is 21 m, what is the area of the region (in sq. m) around the wal

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Q: 86 (CAPF/2023)
On a large ground, there is a straight tall vertical wall of length 28 m. A goat is tied to a point on the ground which is at the middle of the wall, using a rope. If the length of the rope is 21 m, what is the area of the region (in sq. m) around the wall that the goat can access?

question_subject: 

Mathematics

question_exam: 

CAPF

The area accessible to the goat is a circular sector minus a small rectangular area. This requires using geometric and trigonometric reasoning to calculate the region correctly.