After converting the diameter to the radius you are ready to use the formula. P r 2 displaystyle pi r 2. From the proportion we can easily find the final sector area formula.
Set up the formula.
The same method may be used to find arc length - all you need to remember is the formula for a circles circumference. A p r 2 displaystyle Api r 2 to calculate the area of the circle. Th 2p p r2. What the formulae are doing is taking the area of the whole circle and then taking a fraction of that depending on what fraction of the circle the sector fills.