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Q: How do you work out the area of a sector using the angle and radius?

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It depends on what else is known about the sector: length of arc, area or some other measure.

if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area

Find the area of the shaded sector. radius of 3 ...A+ = 7.07

If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm

The area of the sector is: 221.2 cm2

4 ft.

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)

394.7841751413609 125.6637061

(pi * radius squared) * ( sector angle / 360 )

6.46

45.33

19.23

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