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how to the radius if you are only given the perimeter and are of a segment ?

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1 Answer

To do this, you need to know what fraction the wedge represents, which should be given as part of the problem. Either the wedge is defined as being 1/6 or 1/8 or something like that, or the length of the arc segment will be given so that you can compare it to the perimeter to determine this.

For instance, if the perimeter is given as 40 and the arc is length 8, you know the area of that wedge represents 1/5th of the whole disc.

Multiply the area of the segment to work out the area of the whole circle. Then just plug your number into the formula of an area of a circle and solve for the radius. (Divide out pi to find r^2 and take the square root to get r.)

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a sector of a circle has perimeter of 32cm and an area of 63cmsquare. find the radius length and the magnitude of the angle subtended at the centre of the two possible sector.

 

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