Q6 of 77 Page 15

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


More from this chapter

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4

In Fig. 15.77, ∠AOB=90°, AC=BC, OA=12 cm and OC=6,5 cm. Find the area of Δ AOB.

 5

In Fig. 15.78, ABCD is a trapezium in which AB=7 cm, AD=BC=5 cm, DC=x cm, and distance between AB and DC is 4 cm. Find the value of x and area of trapezium ABCD.

 7

In Fig. 15.80, ABCD is a trapezium in which AB||DC. Prove that ar(Δ AOD) = ar(Δ BOC).

 8

In Fig. 15.81, ABCD and CDEF are parallelograms. Prove that

ar(Δ ADE) = ar(Δ BCF).