In a circle with centre

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

O

AB

is a diameter of length

20\,\text{cm}

. A point

C

lies on the circumference of the circle. (i) Prove that

\angle ACB

is a right angle. (ii) If

AC=12\,\text{cm}

, find the length of

BC

. (iii) Hence determine the radius of the circle and the length

OC