Q. 334.4( 63 Votes )
Sides of a right
Given – sides of triangle : 24m, 25m, 7m , radii of three circles : 3.5 m
We know that, area of triangle is
In above figure, base b = 7 and height h = 24
Therefore, area of ∆ABC is
∴ A = 84 m2 ………(1)
Now, sum of three angles of a triangle is 180⁰.
If we join portions of three circles with radii 3.5 we get sector of angle 180⁰ that is semicircle.
Area of this semicircle of radius 3.5 m is
∴ A’ = 19.25 m2
Therefore, area of field that cannot be grazed by animals
= area of triangular field – sum of areas of 3 sectors
= 84 – 19.25
= 64.75 m2
Therefore, area of field that cannot be grazed by animals is 64.75 m2.
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