Podcast
Questions and Answers
What is the value of x in the diagram?
What is the value of x in the diagram?
90
Flashcards
Circle Center (O)
Circle Center (O)
The central point of a circle, equidistant from all points on the circumference.
Points on Circle
Points on Circle
Points A, B, C, and D lie on the circumference of the circle.
Quadrilateral
Quadrilateral
A four-sided polygon formed by connecting points A, B, C, and D.
Angle x
Angle x
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Arc BD
Arc BD
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Angle subtended by Arc BD
Angle subtended by Arc BD
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Arc AC
Arc AC
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Angle subtended by Arc AC
Angle subtended by Arc AC
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Central Angle
Central Angle
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Inscribed Angle
Inscribed Angle
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Study Notes
Circle Geometry
- Point O is the centre of the circle
- Angle subtended by arc CB at the centre (x) is 43 degrees
- Angle subtended by arc CB at the circumference (54 degrees)
Finding x
- The angle at the centre is twice the angle at the circumference subtended by the same arc
- Therefore, 2 * angle at circumference = angle at centre
- 2 * 54 = x
- x = 108
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Description
Test your understanding of circle geometry with this quiz focusing on the relationship between angles subtended at the centre and circumference of a circle. Answer questions related to arcs and angles to reinforce your knowledge of these vital concepts.
