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Area of Circles and Sectors

High School Math based on the topics required for the Regents Exam conducted by NYSED.

 

 

How to Calculate the Area of a Circle

 

 

 

Area of Circles :
The area of circles is derived by dividing a circle into an infinite number of wedges formed by radii drawn from the center. When these wedges are rearranged, they form a rectangle whose height is the radius of the circle and whose base length is half of the circumference of the circle.

 

 

 

How to Find the Area of a Sector of a Circle

 

 

 

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, pi*r^2, by the fraction x/360, where x is the measure of the central angle formed by the two radii.

 

 

 

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