Question

what is the area of the sector whose diameter is 40mm and angle is 120'?​

Answer 1

Answer:

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. So for example, if the central angle was 90°, then the sector would have an area equal to one quarter of the whole circle.

If you know the central angle

Area = π r 2

C

360

where:

C is the central angle in degrees

r is the radius of the circle of which the sector is part.

π is Pi, approximately 3.142

This is the method used in the animation above.

Explanation:

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