The points and are the endpoints of a diameter of a circle.

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The points C(−32, 4)C\bigl(-\tfrac{3}{2},\,4\bigr) and D(52, −2)D\bigl(\tfrac{5}{2},\,-2\bigr) are the endpoints of a diameter of a circle. (i) Find the centre and radius of the circle. (ii) Obtain the equation of the circle in standard form. (iii) Express the same equation in general (expanded) form, simplifying all fractions. (iv) Compute the exact area enclosed by the circle.

Related theory

Browse the problem library