# Calculate area of segment of circle

## ( Equivalent to: surface area of segment of circle )

In next fields, kindly type the dimensions of your shape in the text box under title [ Unknowns: ]. After you type your value, click "CALCULATE" button; the answer will be automatically calculated and displayed in the text box under title [ Answer: ]. Also, you will be able to animate your shape through buttons under the below figure.

## How to Calculate Area Of Segment Of Circle

*Example: What is the area of segment of circle with radius = 13 units and angle = 135 units?*

As;

area of segment of circle = (angle*π/360-sin(angle)/2)*(radius)^{2}

By substituting the above given data in the previous function;

(i.e.) = (135*π/360-sin(135)/2)*(13)^{2}

Answer is: units^{2}.

*Practice Question: Calculate area of segment of circle for the following problems:*

N.B.: After working out the answer of each of the next questions, click adjacent button of see the correct answer.

( i ) radius = 9 units and angle = 120 units

( ii ) radius = 20 units and angle = 109 units

( iii ) radius = 21 units and angle = 118 units