Year 11
Higher
Circle Theorems: Angle in a semicircle is 90 degrees
Year 11
Higher
Circle Theorems: Angle in a semicircle is 90 degrees
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Lesson details
Key learning points
- In this lesson, we will learn that the angle in a semicircle is 90 degrees when the angle is subtended from the diameter. We will prove this result with a general case.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
Work out the size of angle x.
225º
300º
90º
Q2.
Work out the size of angle x.
144º
18º
324º
Q3.
Work out the size of angle x.
112º
124º
56º
3 Questions
Q1.
Work out the size of angle x.
180º
30º
45º
Q2.
Work out the size of angle y.
147º
22º
90º
Q3.
Work out the size of angle x.
122º
45º
58º