A cow is tied with a rope in the middle of a circular grass field of radius 14m. It
started grazing around the boundary and completed 3⁄4 of the field. What is the
distance covered and displacement of the cow?
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A cow is tied with a rope of length 14m at the corner of rectangular field of dimesions 20m x 16m, find area of field in
Area grazed by cow
=
4
1
th
area of circle
=
4
πr
2
=
4
3.14×14×14
=153.86m
2
∴ Area grazed by cow
=153.86m
2
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The distance covered and displacement of the cow .
- Let us suppose the rectangular field to be A B C D and the cow is tied at corner B.
- Then, we can observe that the cow can graze in the quadrant of circular region having radius equals to 14m.
- So, the area of the field in which the cow can graze is equal to the area of the quadrant.
What is area of quadrant?
- The area of a circle, A=πr2.
- Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle).
- We get, Area of a quadrant, A= (πr2)/4 Square units.
According to the question:
We know that, Area of quadrant .
Where,r is the radius of the quadrant.
We have r=14 m.
Area of quadrant .
Substituting the value of we get,
Area of quadrant
.
Hence, The distance covered and displacement of the cow .
Learn more about area of quadrant here,
https://brainly.in/question/85794?msp_poc_exp=5
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