In this question we have to the find the area of the shaded region.
Given that ABCD is a rectangle with AB = 14 cm and BC = 7 cm.
Taking DC, BC and AD as diameters, three semi-circles are drawn.
This question is from r d sharma class 10 maths.
I found this question while doing mensuration of
class 10.
I need help in getting the solution.
Given,
ABCD is a rectangle with AB = 14 cm and BC = 7 cm
It’s seen that,
The area of shaded region = Area of rectangle ABCD + 2 x area of semi-circle with AD and BC as diameters – area of the semi-circle with DC as diameter
= 14 x 7 + 2 x ½ π(7/2)2 – ½ π(7)2
= 98 + 22/7 x (7/2)2 – ½ (22/7)(7)2
= 98 + 77/2 – 77
= 59.5 cm2