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Circle Theorems

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Question 2
12%

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.

KKK, L L\,L and M M\,M are points on a circle, centre OOO. SMT SMT\,SMT is a tangent to the circle at MMM.

KL=LMKL = LMKL=LM Angle SMK=y∘SMK = y^\circSMK=y∘

Find the size of angle OMLOMLOML, in terms of yyy. Give reasons for each stage of your working.

[5]

Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Circle Theorems

Practise Edexcel GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 71 questions, matched to the Edexcel GCSE Maths (1MA1) 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.

Question bank