Geometry and Measures

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Circles and Their Properties

Geometry and Measures Circles and Their Properties

🎬 Video Tutorial

  • (0:01) Basic Circle Properties: A circle is defined by all points equidistant from its centre. This constant distance from the centre to any point on the circle is called the radius.
  • (0:30) Circle Measurements: The diameter is twice the radius. A chord is any line segment connecting two points on the circle, with the diameter being the longest chord.
  • (0:50) Parts of a Circle: A segment is the area between a chord and its arc, while a sector is the “pie-slice” area formed by two radii and the arc between them.
  • (1:11) Tangents: A tangent is a line that touches the circle at a single point and is always perpendicular to the radius at that point of contact.

📂 Revision Cards

Diagram of a circle showing key terms: tangent, chord, diameter, radius, sector, segment, and arc, with definitions around the circle.
1) Circles and Key Terms
Diagram illustrating how to find points that are 5 cm from point A and 3 cm from point B, with circles drawn for each point to show intersections.
2) Finding Points with Circles

🍪 Quiz

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Circles and Their Properties

1 / 6

Q: What is the constant distance from the centre of a circle to any point on its edge called?

2 / 6

Q: What do we call a straight line that touches a circle at exactly one point?

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Q: What is the segment of a circle enclosed by a chord and the arc above it called?

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Q: A circle has a diameter of 16 cm. What is its radius?

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Q: A tangent touches a circle at exactly one point. At this point, what is the angle between the tangent and the radius?

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Q: A circle has a radius of 7 cm. What is the length of the longest chord in the circle?

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