Notifications
Clear all
Areas Related to Circles
1
Posts
2
Users
0
Likes
197
Views
0
26/06/2021 10:35 am
Topic starter
In Figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.
1 Answer
0
26/06/2021 10:36 am
Side of square = 14 cm
Four quadrants are included in the four sides of the square.
∴ Radius of the circles = 14/2 cm = 7 cm
Area of the square ABCD = 142 = 196 cm2
Area of the quadrant = (πR2)/4 cm2
= (22/7) × 72/4 cm2
= 77/2 cm2
Total area of the quadrant = 4×77/2 cm2 = 154cm2
Area of the shaded region = Area of the square ABCD – Area of the quadrant
= 196 cm2 – 154 cm2
= 42 cm2