Question

area of circle inscribed in a rhombus
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Answer 1

πr² . Area of circle will same only .

Answer 2

Step-by-step explanation:

Circle inscribed in a rhombus touches its four side a four ends. The side of rhombus is a tangent to the circle.

Here, r is the radius that is to be found using a and, the diagonals whose values are given.

Now the area of triangle AOB = ½ * OA * OB = ½ * AB * r (both using formula ½*b*h).

½ *a/2*b/2 = ½ *( √ (a2/4 + b2/4))*r

a*b/8 = √ (a2+ b2 )*r /4

r = a*b/ 2√ (a2+ b2 )

Area of circle = π*r*r = π*(a2*b2)/4(a2+ b2 )