Maths with Lemon

Trigonometry -Arc,Sector

"There is no royal road to geometry. "

Euclid

Arc, sector and segment

What you have to know:

  • The basic trigonometric properties
  • You must be able to rearrange formulae.

Key Points

  • 1. Watch the video:

Arc, sector and segment (Example)

What you have to know:

  • The basic trigonometric properties
  • You must be able to rearrange formulae.

Key Points

  • 1. Watch the video:

Extra

Material and references:

  • Hodder Book SL(ISBN: 9781510462359) :
    18A

Key Points

  • You should be able to convert between degrees and radians: \[ 360^\circ = 2\pi \text{ radians}. \]

  • You should be able to find the length of an arc of a circle: \[ s = r\theta, \] where \( r \) is the radius of the circle and \( \theta \) is the angle subtended at the centre measured in radians.

  • You should be able to find the area of a sector of a circle: \[ A = \tfrac{1}{2} r^2\theta, \] where \( r \) is the radius of the circle and \( \theta \) is the angle subtended at the centre measured in radians.

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