Question

Find the center and diameter of the circle below?

Answer 1

See the Explanation.

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`.