Question

Answer this Question :

If BC passes through the centre of the circle, then the area of the shaded region in the given figure is :

Answer 1

HELLO DEAR,

IN∆ABC ,<A=90°

[ any triangle drawn on diameter of a Circle are right triangle]

(BC)² = (AB)² + (AC)²

=> BC² = a²+a²

=> BC = a√2 = diameter of Circle

=> radius if Circle = a√2/2

area of semicircle = 1/2πr²

=> 1/2×(π×a²×2/4) = πa²/4

AND,

area of ∆ABC

=> 1/2 × AB × AC

=> 1/2 ×a × a

=> a² ×1/2unit²

area of shaded region = area of semicircle - area of triangle ABC

=> πa²/4 - a²/2

=> a²/2 (π/2 - 1)

hence, option (D) IS CORRECT

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

hope it helps you ......