Q. 114.8( 6 Votes )

in fig. 4, O is t

Answer :

ACB = 90°

As angle in a semicircle is a right angle.

So ABC is a right angled triangle

By Phythagoras theorem, which states, In a right angled triangle

(hypotenuse)2 = (base)2 + (perpendicular)2

In ABC

AB2 = BC2 + CA2

132 = BC2 + 122

169 = BC2 + 144

BC2 = 25

BC = 5 cm

And we know,

= 30 cm2

= 66.3325 cm2

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

= 66.3325 - 30

= 36.3325 cm2

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