Circle Theorems

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2

Angles at Centre -  Circle Theorem:

The angle subtended by an arc at the centre is twice the angle at the circumference

<p>The angle subtended by an arc at the centre is twice the angle at the circumference</p>
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3

How to spot the angles at centre circle theorem:

STEP 1  \n Find any two radii in the circle and follow them to the circumference  \n STEP 2 \n See if there are lines from those points going to any other point on the circumference

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4

What to say in an exam if asked the reason for the angles at centre circle theorem:

The angle at the centre is twice the angle at the circumference

<p>The angle at the centre is twice the angle at the circumference</p>
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5

Angles at Circumference - Circle Theorem:

The angle in a semicircle is a right angle

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6

How to spot the angles at circumference circle theorem:

Look for a diameter in the circle and see if it makes the base of a triangle, with its top vertex at the circumference

  • Make sure that you are looking at a diameter by checking it goes through the centre

  • These questions only need half of the circle so they could appear in whole circles or in semicircles only

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7

What to say in an exam if asked the reason for the angles at circumference circle theorem:

The angle in a semicircle is 90°

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