Question

A rectangle with one side 4 cm is inscribed in a circle of radius 2.5cm . Find the area of the rectangle.
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Answer 1

Given,

Radius of circle = 2.5 cm

Diameter = 2*r = 5 cm

Here, Diameter of rectangle = Diagonal of rectangle = 5 cm

Hence, Sides of triangle formed = 4 cm and 5 cm and x cm

We know,

Pythagoras Theorem ,

i.e H² = B² + P²

5² = x² + 4²

25 = x² + 16

9 = x²

3 = x

Hence sides of rect. = 3 cm, 4 cm

Area = l*b

= 3*4

= 12 cm²