a cow is tethered with a rope of length 35 m at the center of the rectangular field of length 76m and breadth 60m. find the area of the land that the cow cannot graze? for 7th std challenge problem
Answers
Answer:
Area of rectangle = 76x60=4560m2
Area of the circle formed
πr^2 = 22/7 x35x35=5390m2
HOW?
Answer:
A cow tied by a 35m rope at the center of 76m by 60m rectangular field does not graze on 710m² of the field.
Step-by-step explanation:
Since the cow is tethered with a rope at the center of the rectangular field, the cow grazes on a circular area of the field.
The circle is of radius 35m which is the length of the rope.
Now the area of a circle is given by:
Area = pie × r²
pie = 22/7
r = 35m
Doing substitution we have:
Area = 22/7 × 35² = 3850 m²
The area grazed by the cow is therefore 3850 m²
But we want the area that's not grazed by the cow.
This is given by:
Total area of the field - area grazed by the cow
The field is rectangular in shape.
Area of rectangle = length × width
= 76 × 60 = 4560 m²
The area that's not grazed = 4560 - 3850 = 710 m²
Therefore:
The area of the field that the cow can't graze is 710 m²