With the vertices A, B and C of a triangle ABC as centres, arcs are drawn with radii 5 cm each as shown in the figure. If AB = 14 cm, BC = 48 cm and CA = 50 cm, then find the area of the shaded region (Use = 3.14).

Asked by Topperlearning User | 2nd Apr, 2014, 10:15: AM

Expert Answer:

Area of sectors =

= 39.25 cm2

Since, 14 cm, 48 cm and 50 cm is a Pythagorean triplet, it is a right

Area =

Area of shaded portion = (336 - 39.25) cm2

= 296.75 cm2

Answered by  | 2nd Apr, 2014, 12:15: PM