In the figure, ABCD is a square of side 8 cm CBED and ADFB are quadrants of circle - Maths - Areas Related to Circles

Question

In the figure, ABCD is a square of side 8 cm CBED and ADFB are
quadrants of circle Find the area of the shaded region
​​

Manbar Singh · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_56e25482a3075%20png">
Side of square ABCD = s = 8 cmarea of square ABCD = A1 = s2 = 82 = 64 cm2radius of quadrant CBED  = r = 8 cmArea of quadrant CBED, A2 = πr24 = 16π cm2area of unshaded portion ADEB = A1-A2 = 64 - 16π = 64-16×3
14 = 13
76 cm2Similarly, area of unshaded portion CBFD = 13
76 cm2area of shaded portion = A1 - area of unshaded portion ADEB+area of unshaded portion CBFD=64 - 13
76+13 76=64-27 52=36 48 cm2

In the figure, ABCD is a square of side 8 cm. CBED and ADFB are quadrants of circle. Find the area of the shaded region. ​​

In the figure, ABCD is a square of side 8 cm. CBED and ADFB are quadrants of circle. Find the area of the shaded region.