KS4. Geometry. Chord of a Circle

Before studying this section you need to have studied the trigonometry topic and also have studied how to calculate the area of a sector.

There are lots of technical names for the different parts of a circle that we need to know about. We have talked about some before. Which ones do you remember?

Today we will look at the chord of a circle and the segment of a circle, and how to calculate the length of a chord and the area of a segment.

Worked Example

AB is a chord of 12cm of a circle with centre O and radius 10 cm. Calculate:

  • Angle AOB; and
  • The area of the minor segment cut off by the chord AB.



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