Arc Of Circle

Arc of circle is the important concept in geometry.  Arc of circle is the one of the segment of the circumference of the circle.  Arc of the circle is the part of the circle.  In this topic we have to discuss about the area of the arc of circle with their example problems.
Brief Explanation of Area of Arc of Circle
Figure of the arc of the circle:

Area of the arc of the circle:
    Here area of the arc is also denoted as area of the sector.  It is defined with the help of the following formula,
A = `(theta)/(360)`  p r2
    We have substitute the central angle and radius value in the above formula. Here p is equal to 180 degree.  Now we can get the area of the arc of the circle.
Example Problems:
Example 1:
Find the area of the arc of a sector if the central angle is equal to 120 degree and radius is equal to 10 cm.
Solution:
Given central angle = 120 degree and radius r=10 cm
The formula for area of the arc of the circle is equal to
A = `(theta)/(360)`  p r2
Substitute the central angle and radius and p value we can get the value for the area of the arc of the circle
A=`(120)/(360)`x 180 x 102
Simplifying this we can get,
A=6000 Square centimeter
Therefore the area of the arc of the circle is 6000 Square centimeter

I am planning to write more post on solving equation, solving linear equations with two variables. Keep checking my blog.

Example 2:
Find the area of the arc of a sector if the central angle is equal to 270 degree and radius is equal to 22 inches.
Solution:
Given central angle = 270 degree and radius r=22 inches
The formula for area of the arc of the circle is equal to
A = `(theta)/(360)`   p r2
Substitute the central angle and radius and p value we can get the value for the area of the arc of the circle
A=`(270)/(360)`x 180 x 222
Simplifying this we can get,
A=65340 Square inches
Therefore the area of the arc of the circle is 65340 Square inches