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Circle Theorems

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Question 22

$A geometric diagram showing a circle with center O. A line XWY is tangent to the circle at point W. Points U and V are on the circle. Line segments WU, WV, and OV are drawn. A line segment UV is also drawn. There are single tick marks on segments UV and VW, indicating they are equal in length. The angle XWU is labeled as \theta degrees.$

$U$ , $V\,$ and $W\,$ are points on a circle, centre $O$ . $XWY\,$ is a tangent to the circle at $W$ .

$U V = V W$ Angle $\theta^\circ$

Find the size of angle $O W V$ , in terms of $θ\theta$ . Give reasons for each stage of your working.

[5]

Markscheme

Circle Theorems Questions

GCSE
Maths
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.

Circle Theorems

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Circle Theorems

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Question 22

$U$ , $V\,$ and $W\,$ are points on a circle, centre $O$ . $XWY\,$ is a tangent to the circle at $W$ .

$U V = V W$ Angle $\theta^\circ$

Find the size of angle $O W V$ , in terms of $θ\theta$ . Give reasons for each stage of your working.

[5]

Markscheme

Circle Theorems Questions

GCSE
Maths
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.