Circle Theorems

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A geometric diagram showing a circle with center O. A horizontal line SMT is tangent to the circle at point M. Points K and L are on the circle. Line segments MK, ML, and OL are drawn. A line segment KL is also drawn. There are single tick marks on segments KL and LM, indicating they are equal in length. The angle SMK is labeled as y degrees.

$K$ , $L\,$ and $M\,$ are points on a circle, centre $O$ . $SMT\,$ is a tangent to the circle at $M$ .

$K L = L M$ Angle $y^\circ$

Find the size of angle $O M L$ , in terms of $y$ . Give reasons for each stage of your working.

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Circle Theorems Questions

Practise AQA GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.