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RS Aggarwal Solutions Class 10 Mathematics Solutions for Area Of Circle Sector And Segment Exercise 16A in Chapter 16 - Area Of Circle Sector And Segment
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A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
Answer:
Length of rectangular field = L = 70 m
Breadth of rectangular field = B = 52 m
So, Area of the field = L x B
= 70×52 = 3640
Area of the field is 3640 m^2
And, Area of the quadrant of radius 21 m = 1/4 x 22/7 x 21 x 21
= 346.5 m^2
Area available for grazing = (Area of the field) - (Area of the quadrant of radius 21 m)
= 3640 - 346.5
= 3293.5 m^2
Thus, 3293.5 m^2 area is left ungrazed.
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