Find the center and diameter of the circle below?

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Answer 1 · 2016-08-26T17:39:58

See the Explanation.

We take any #3# distinct points, say, #A, B and C# on the circle.

Draw the #bot#-bisectors, say, #l_1 and l_2# of line-segments

#AB, and, BC#.

Since, the pts. #A, B, C# are non-colliner , #l_1nnl_2!=phi#.

Let #l_1nnl_2={P}#, then #P# is the Centre of the circle passing thro.

#A,B,C#.

A Diameter #AD# of this circle can be obtained by joining #A# with the

centre #P#, and, extending the line-segment #AP# so as to meet

the circle in pt. #D!=A#.