OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm OE is 2√5 find the area of rectangle
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radius of the circle=od=10cm
also given
ad=2√5 cm
we need to find the area of rectangle ocde
by pythagoras theorem
od²=oe²+de²
10²=(2√5)²+de²
de²=100-20
de²=80
de=√80
de=4√5
∴area = ar(ocde)=oc*od
= 4√5*2√5
=40 square cm
also given
ad=2√5 cm
we need to find the area of rectangle ocde
by pythagoras theorem
od²=oe²+de²
10²=(2√5)²+de²
de²=100-20
de²=80
de=√80
de=4√5
∴area = ar(ocde)=oc*od
= 4√5*2√5
=40 square cm
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