Circle Theorems

List view

Medium

A geometric diagram showing a circle with centre O. Points X and Y are on the circumference. ZY is a tangent line to the circle at point Y. Line segment XY is a chord. Line segment XZ is a secant line passing through the centre O. The angle YXZ is labeled as 31 degrees.

$X\,$ and $Y\,$ are points on the circumference of a circle, centre $O$ . $ZY\,$ is a tangent to the circle at point $Y$ .

Angle $31^\circ$

Find the size of angle $X Z Y$ . You must show all your working.

[4]

Circle Theorems Questions

Practise OCR GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.