Question

AP B 20) in the adjoining diagram, ABCD is a square. P, Q, R, S are the mid points of sides AB, BC, CD and DA respectively. PQ and SR are quadrnts of circles with B,D as centres and BP as radius. PS and RQ are part of the circle passing through P Q R and S. If AB = 20 cm, the area of he shaded region (in cm) is ​

Answer 1

Answer:

AP B 20) in the adjoining diagram, ABCD is a square. P, Q, R, S are the mid points of sides AB, BC, CD and DA respectively. PQ and SR are quadrnts of circles with B,D as centres and BP as radius. PS and RQ are part of the circle passing through P Q R and S. If AB = 20 cm, the area of he shaded region (in cm) is

Answer 2

Answer:

(2+3√2)

Step-by-step explanation:

Let the radius of each smaller circle be 'r' and radius of the larger circle be ?R?, then OR=OP=R+r=3r; πR2=4πr2⇒R=2r Also, PM = r (PM is the perpendicular on AB) AP=2√r;AO=AP+PO=r2√+3r=r(3+2√)AC=2AO=2r(3+2√), which is the diagonal ∴ Required ratio =2r(3+2√)2√r=(2+3√2)