Math CentralQuandaries & Queries


Question from Ahamed:

the diameters of a circle AB and CD intersect each other at O perpendicularly. Then a chord DF is drawn. AB and DF intersect at E. DE=6cn and EF=2cm.find the area of the circle

Hi Ahamed,

Here is my diagram.


Since the two diagonals intersect at the center of the circle $O$ must be the center of the circle.

What do you know about the angle $DFC?$

What do you know about the triangles $DFC$ and $DEO?$


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