A calf is tied with a rope of length 6 m at the corner of a square grassy lawn of side 20 m. If the length of the rope is increased by 5.5 m, find the increase in area of the grassy lawn in which the calf can graze.
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Hi there!
Length of the rope forms the radius of the sector of the area where the cow can graze.
Original radius (r) = 6 m
Increased radius = 6 + 5.5 = 11.5 m
Increase in area of the field graze by the cow = (90°/360°) x (22/7) x (11.5² - 6²)
= 1/4 x 22/7 x (132.25 - 36)
= 1/4 x 22/7 x 96.25
= 75.625 m²
Cheers!
Length of the rope forms the radius of the sector of the area where the cow can graze.
Original radius (r) = 6 m
Increased radius = 6 + 5.5 = 11.5 m
Increase in area of the field graze by the cow = (90°/360°) x (22/7) x (11.5² - 6²)
= 1/4 x 22/7 x (132.25 - 36)
= 1/4 x 22/7 x 96.25
= 75.625 m²
Cheers!
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