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Circle Theorems

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Question 21

A circle with centre O has X and Y on its circumference, tangent XZ with length 60 cm, radius OX labelled 11 cm, and O, Y and Z on a straight line, with YZ indicated as the unknown length.

X X\,X and Y Y\,Y are points on the circumference of a circle, centre OOO. XZ XZ\,XZ is a tangent to the circle at XXX. OYZ OYZ\,OYZ is a straight line.

OX=11 cmOX = 11\text{ cm}OX=11 cm XZ=60 cmXZ = 60\text{ cm}XZ=60 cm

Find the length of YZYZYZ.

You must show all your working.

[4]
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Circle Theorems Questions

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

59 exam-style questions on AQA GCSE Maths Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

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