In Fig. 15.79, OCDE is a rectangle inscribed in a quadrilateral of a circle of radium 10 cm. If OE=2 , find the area of the rectangle.

In Fig. 15.79, OCDE is a rectangle inscribed in a quadrilateral of a circle of radium 10 cm. If OE=2 , find the area of the rectangle.

We have,

OD = 10 cm

And,

OE = 2 cm

Therefore,

OD² = OE² + DE²

DE =

=

= 4 cm

Therefore,

Area of trapezium OCDE = OE * DE

= 2* 4

= 40 cm²

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