# Find area of sector of circle

The area of sector can be calculated for given value which can be in radian or in degree. one degree is equal to 0.0174533 radian (approx), simlarlly one radian is equal to 57.2958 degree (approx). The fraction is determined by the ratio of the arc length to the entire circumference.

**once around**(2π) with the subtended angle and we get the formula we needed for the sector as follows: $$ Area = (\frac {Angle}{2}) \times radius^{2} $$ Let's take the example : radius is 7 cm and angle is 60

^{o}, now we can convert the 60

^{o}into radian value as follow:

Since 360

^{o}in radian = 2π, therefore 60

^{o}in radian = 60 * (2/360) =

^{1}

_{/3}

^{π }= 0.3333π.

= 0.33333 X 3.141592654 = 1.047619

We can enter the value in both form as degree (60) or as radian (1.047619).

The area of sector can be calculated using following formula $$ \text {Area of sector = } \pi r^{2} \cdot \frac {\theta^{o}}{360} $$ where π is 3.141592654, r is radius of thr circle and θ is angle in degree