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Area of Sectors




 
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More Lessons for Grade 9

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Videos, worksheets, games and activities to help Geometry students learn how to find the area of sectors.
What is a sector?

A sector is part of a circle bound by the central angle and its intercepted arc. You can think of it as the area of a "slice of pizza".


What is the formula for the area of sector?

\(\begin{array}{l}\frac{{{\rm{central \: angle}}}}{{360^\circ }} = \frac{{{\rm{sector}}}}{{\pi {r^2}}}\\{\rm{sector}} = \frac{{{\rm{central \: angle}}}}{{360^\circ }} \times \pi {r^2}\end{array}\)

Area of a Sector
A sector in a circle is the region bound by two radii and the circle. Since it is a fractional part of the circle, the area of any sector is found by multiplying the area of the circle, π×r2, by the fraction x/360, where x is the measure of the central angle formed by the two radii.
This video shows two examples, one for finding the sector of a circle and the other to find the radius of a circle with a given sector area.



Finding the area of a sector of a circle
This video explains how to find the area of a sector.


 

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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