Question

Find the area of sector of a circle whose radius is 7 cm with given angle do this

Answer 1

What is the area of the circular sector of a circle of radius 7 cm that subtends a central angle of 35°?

Geometry

1 Answer



EZ as pi

Aug 24, 2016

Answer:

Sector area = 14.97cm2

Explanation:

There are 3 parts of a sector which are usually calculated:
the arc length, the sector angle θ, and the sector area.
They all represent the same fraction of the circle
Remember: A fraction=partwhole
For example, for a quarter circle:
The sector angle of 90°: 90360=14
The arc length: arc lengthcircumference=14
The sector area: sector areaarea of circle=14
So as long as you know what fraction you are dealing with, given the radius, you can calculate any part of the sector.
In this example: fraction=35360
Sector area = fraction×πr2=35360×π72
=35360×π×49
=14.97cm2

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