A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m. Find the area of the field in which the cow can graze
Solution:
Given, rectangular field of dimension 20m × 16m
A cow is tied with a rope of length 14 m at the corner of the rectangular field.
We have to find the area of the field in which the cow can graze.
Let ABCD be the rectangular field.
From the figure,
We observe that the area that the cow can gaze is in the form of a sector of a circle.
So, AGEF is a sector of a circle with radius 14 m.
Area of sector = πr²θ/360°
Here, θ = 90°
Area of sector = (22/7)(14)²(90°/360°)
= (22)(2)(14)(1/4)
= (22)(14)(1/2)
= 11(14)
= 154 m²
Therefore, the area in which the cow can gaze is 154 m².
✦ Try This: A cow is tied with a rope of length 10 m at the corner of a rectangular field of dimensions 13m × 18m. Find the area of the field in which the cow can graze.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12
NCERT Exemplar Class 10 Maths Exercise 11.3 Problem 5
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m. Find the area of the field in which the cow can graze
Summary:
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m × 16m. The area of the field in which the cow can graze is 154 m²
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