Question

Four horses are tethered with equal ropes
at four corners of a square with side 70 metres so that they just can reach one another. Find the area left unglazed by horses.

Answer 1

Length = 70 x 2 = 140 m

Area of the square = 140 x 140 = 19600 m²

.

Given that the horses each can glaze a quadrant of a circle with radius 70 m

Area that 4 horses glazed = 4 quadrant = 1 circle with radius 70 m

.

Area of the circle = π(70)² = 15394 m²

.

Area left unglazed = 19600 - 15394 = 4206 m²

.

Answer: The area of the unglazed by the horses is 4206 m²