On a large groun d there is a straight tall vertical wall of length 28 m A goat is tied to a point o...........

Quantitative Aptitude( Paper-I ) Mensuration 2D

On a large groun d, 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?

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Explanation:

Correct option:3

Area = p × (21)² ˜ 1385.44 sq. m.

With the wall, only the part of the circle in front of the wall is accessible.

The wall divides the circle into two equal halves. The goat can only access the region in front of the wall, so half the circle plus the area along the wall on both sides.

But since the wall’s length (28 m) is more than the diameter (42 m), the whole half is accessible, not just a segment (the rope doesn't reach past the wall’s ends).

Thus, accessible area = (1/2) × p × (21)² ˜ 692.82 sq. m.

So, the correct area (rounded) is 693 sq. m.