Notifications
Clear all
Areas Related to Circles
1
Posts
2
Users
0
Likes
254
Views
0
25/06/2021 1:46 pm
Topic starter
Find the area of the shaded region in Figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
1 Answer
0
25/06/2021 1:47 pm
Side of the square ABCD (as given) = 14 cm
Area of ABCD = a2
= 14 × 14 cm2 = 196 cm2
We know that the side of the square = diameter of the circle = 14 cm
So, side of the square = diameter of the semicircle = 14 cm
∴ Radius of the semicircle = 7 cm
Now, area of the semicircle = (πR2)/2
= (22/7×7×7)/2 cm2 =
= 77 cm2
∴ Area of two semicircles = 2×77 cm2 = 154 cm2
Hence, area of the shaded region = Area of the Square – Area of two semicircles
= 196 cm2 -154 cm2
= 42 cm2