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
cm2. Find the radius of each circle.

Answer 1

Let the side of square be 2x Area of square =side ^2=4x^2 Draw diagram according to question Radius of square be x These quardent of 4square will form a circle which comes in square Area of circle =pi x^2 According to question x^2(4 -pi)=24/7 x^2(6/7)=24/7 x=+-2 Negative 2 will rejected So.radius of circle will be 2 cm

Answer 2

Answer:

Step-by-step explanation:

Given that area of shaded area is 24/7

Shaded area = Area of square - Area of circle(Area of circle = Sum of four quadrants)

24/7 = (2r)2 - pier2

24/7 = 4r2 - pie r2

24/7 = r2(4 - pie)

24/7 = r2(4-22/7)

24/7 = r2(28-22/7)

24/7 = r2(6/7)

r2 = 24 x 7 / 6 x 7

r2  = 24/6

r2 = 4

r = 2