if the circumference of a circular garden is 308 m, find its aera also find the cost of grassing it at ₹ 4.85per m square
lucky339:
area is 7546m2 and 36598.1 rupees
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Circumference of the circular garden = 308m
Therefore 2πr = 308m
=> 2 × 22/7 × r = 308m
=> 44/7 × r = 308m
=> r = 308/1 × 7/44
=> r = 7 × 7
=> r = 49m
Verification :-
Circumference of the circular garden = 2πr
= 2 × 22/7 × 49
= 44 × 7
= 308m
Hence the radius of the circular garden is 49m.
Now,
Area of the circular garden = πr²
= 22/7 × 49 × 49
= 22 × 7 × 49
= 7546m²
Total cost of grassing the land at the rate of ₹4.85 per m² = 7546 × 4.85
= ₹36598.1
Therefore 2πr = 308m
=> 2 × 22/7 × r = 308m
=> 44/7 × r = 308m
=> r = 308/1 × 7/44
=> r = 7 × 7
=> r = 49m
Verification :-
Circumference of the circular garden = 2πr
= 2 × 22/7 × 49
= 44 × 7
= 308m
Hence the radius of the circular garden is 49m.
Now,
Area of the circular garden = πr²
= 22/7 × 49 × 49
= 22 × 7 × 49
= 7546m²
Total cost of grassing the land at the rate of ₹4.85 per m² = 7546 × 4.85
= ₹36598.1
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