How do you work out the angle of a sector of a circle?

spudqueen | 21:58 Wed 03rd Dec 2008 | Jobs & Education

3 Answers

How do you work out the angle of a sector of a circle when given the area of the sector and the radius of the circle?

Not my homework - my teenage sons and Mr Spudqueen is working away - so please help if you can!

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dundurn

Area of whole circle is pi x radius x radius

Degrees in whole circle = 360

You know area of sector so

degrees in sector = 360 x area of sector divided by area of whole circle

Prudie

dundurn is right if the answer has to be in degrees. If it has to be in radians (ie where 180 degrees = pi) then the formula is 2 X sector area divided by radius squared, Basically whatever fraction of the area of the circle the sector is then the angle of the sector will be the same fraction of 360 degrees.

spudqueen

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Many thanks - he's got an answer - lets hope it's the right one!

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