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what is the formula of area of segment of a circle. Comparing the area of sector and area of circle we derive the formula for the area of sector when the central angle is given in degrees. A ½ r 2 th Sin th Area of a Segment in Degrees.
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To find the area of the shaded segment we need to subtract the area of the triangle from the area of the sector. According to the definition the part of circular region which is enclosed between a chord and corresponding arc is known as segment of a circle. Area of a Segment in Radians.
We will first use an example finding the area of a segment using this area of a triangle formula.
Where r is the radius of the circle. L th r when th is in radians L th p 180 r when th is in degrees. Where r is the radius of the circle. According to the definition the part of circular region which is enclosed between a chord and corresponding arc is known as segment of a circle.
