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.
Answers
Answered by
7
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
Answered by
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
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