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Q.

Three horses are tethered with 7 m long ropes at the three corners of a triangular field having sides 20 m, 34 m, 42 m. Find the area of the field which can be grazed by the horses and the area of the plot which remains ungraced.


Class: Grade 10


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a

249 m2

b

294 m2

c

295 m2

d

259 m2  

answer is D.

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Detailed Solution

Sides of triangular field is 520 m, 34 m & 42 m.                                            Semi-perimeter =
Area of field =
= 336 m2
Area gazed = Area of sector APQ + Area of sector BRS
Area of sector CTU = Area of semicircle with radius 7.
= Area of field – Area of gazed
= 336 – 77
= 259 m2 (Area of ungraded)
 
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