Question

with vertices A B and C of a triangle ABC ad centres arcs with drawn with radii 6 cm each if AB=20cm bc=48cm CA=52cm find the area of the shaded region

Answer 1

Area of triangle can be calculated as

S = AB + BC + AC / 2
   = 112/2
   = 56
Thus area  = S root [ (S-a) (S-b) (S-c) ]
                  = 56 root [ 42 * 6 * 8 ]
                  = 56 root [1816]
                 = 2386

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