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Grade 910 grade maths

In the given figure, CE and DE are equal chords of a circle with centre O. If angle AOB = 90o, find the ratio of areas of triangle CED and triangle AOB.

Question image for In the given figure, CE and DE are equal chords o
Profile image of Sanskar Pathak
10 Years agoGrade 9
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1 Answer

Profile image of Nishant Vora
10 Years ago
Angle E = 90
CD = 2r
let CE=CE=x
x^2 + x^2 = 4r^2
x=root2 r
so Area CED = ½ * x * x = ½ (2r^2) = r^2

Area AOB = ½ * r *r = r^2/ 2

ratio of areas of triangle CED and triangle AOB = 2:1