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# How to . . . Circle Theorems - JustMaths

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```Circle Theorems
Now have a go yourself . . .
How to . . .
The diagram shows a circle centre O. A, B and C are points on the circumference.DCO is a straight line. DA is a tangent to the circle.
S and T are points on the circumference of a circle, centre O.
Angle ADO = 36В°
PT is a tangent to the circle and SOP is a straight line.
Angle OPT = 32
o
Work out the size of the angle marked x. Give reasons for
(a) Work out the size of angle AOD.
your answer.
..................................В°
(b) Work out the size of angle ABC.
..................................В°
(5)
www.justmaths.co.uk
Give reasons for your answers.
В©JustMaths 2013
Exam Questions
A, B and C are points on the circumference
of a circle, centre O.
AC is a diameter of the circle.
Write down the size of angle ABC. Give a
Ready to be marked ?
Checklist
Answer checked
Reasons given
reason from your answer
Keywords
Things to remember ...
D, E and F are points on the circumference of a
circle, centre O.
Angle DOF = 130o
What went well ...
Work out the size of angle DEF. Give a reason
for your answer.
Teacher comment ..
```
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