# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/aa-geometry-trigonometry-arc%20sector.html


## 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:
- 2. Read this presentation

#### 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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