The circle is a combination of points in a plane .And all the points are the same distance from a point. This point is called the center of the circle. There are some parts of the circle. These parts are as follows:
In this figure C is the center of the circle.
We can find the area of the arc length by this formula
Arc length=`theta/360 * 2 pi r`
Where `theta` = central angle
r =radius of circle and `pi=3.14`
Another short cut method of finding the length of arc is as follows:
Arc length=`theta` r
Where `theta ` is in radian.
Que 1.Find the length of arc if central angle is 120 degrees and diameter of circle is 4cm.
Here central angle( θ)=120
And diameter(d)=4cm
So radius(r)=4/2=2cm
Arc length=`theta/3260 * 2 pir`
=`120/360 * 2 * 3.14 * 2`
=4.186cm
Que 2: Find the arc length if central angle is 3 radian and radius is 4cm?
Ans : Arc length= r `theta`
Here r=4cm
And `theta` =3radian
So arc length=4*3
=12 cm
1) If area of circle is 4cm^{2} and central angle is 90 degrees than find the value of arc length
Ans 1.77cm
2 )Find the value of arc length if central angle is 180 degrees and radius is 4cm?
Ans 12.56cm