Four equal circles are described at the four corners of a square so that each touches two of the others - Maths - Areas Related to Circles

Question

Four equal circles are described at the four corners of a square so
that each touches two of the others The shaded area enclosed
between the circles is 24/7 m2 Find the radius of each circle

Jasmine Kamra · Accepted Answer

ar of shaded region =24/7
let the side of sqare be s
ar of square =S2
ar of 4 quadrants =4* 1/4 *22/7 *r2
now r=S/2
S2-22/7*(S/2)2
24/7 = S2(1-11/14)
24/7 =S2*3/14
S2 =24*14/7*3
S2 =16
S=4
therefore r=4/2
r = 2

thumbs up plzz

Four equal circles are described at the four corners of a square so that each touches two of the others. The shaded area enclosed between the circles is 24/7 m2. Find the radius of each circle.