Year 11
Higher

Circle Theorems: Angle at the centre and angle at the circumference

Year 11
Higher

Circle Theorems: Angle at the centre and angle at the circumference

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Lesson details

Key learning points

  1. In this lesson, we will learn that the angle at the centre of a circle is twice the angle at the circumference when subtended from the same arc. We will prove this result with a general case.

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3 Questions

Q1.
Work out the size of angle x.
An image in a quiz
225º
300º
Correct answer: 75º
90º
Q2.
Work out the size of angle x.
An image in a quiz
144º
18º
324º
Correct answer: 72º
Q3.
Work out the size of angle x.
An image in a quiz
112º
124º
Correct answer: 28º
56º