A rope by which a calf is tied is increased from 12 m to 23 m. How much additional grassy ground shall is graze...?
with complete solutions....
A) 1120 m²
B) 1250 m²
C) 1210 m²
D) 1200 m²
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2
Answer:
(C)1210m²
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Answer
Option (C) : 1210 m²
Explanation
* The length of the rope is the radius of the circle and the calf can graze the area of the ground, which is enclosed inside the circle.
Given,
Smaller radius (r) = 12m
Bigger radius (R) = 23m
1st Case: (For smaller circle)
Area of Circle = π × r²
=> π × (12)²
=> 144π m²
2nd Case: (For bigger circle)
Area of Circle = π × R²
=> π × (23)²
=> 529π m²
Additional ground = Bigger Circle - Smaller Circle
=> ( 529π - 144π ) m²
=> π (529 - 144) m²
=> π (385) m²
=> 22/7 * 385 m²
=> 22 × 55 m²
=> 1210 m²
Therefore, the additional grassy ground that the calf can graze = 1210 m²
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