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# Calculate The Perimeter Of A Circular Segment

Last updated: Saturday, June 24, 2023

The perimeter of a circular segment is the sum of the arc length and the straight line segments that connect the endpoints of the arc to the chord. The formula to find the perimeter of a circular segment depends on the angle of the segment and the radius of the circle.

In real life, the perimeter of a circular segment is used in various applications such as designing circular arches for bridges or buildings, calculating the length of an arc in a circular race track, and determining the amount of fencing needed to enclose a circular section of land.

Calculating the perimeter of a circular segment can be useful in a variety of fields including engineering, architecture, physics, and geometry.

The formula for determining the perimeter of a circular segment is defined as:
$$P$$ $$=$$ $$\dfrac{\theta \cdot \pi}{180}$$ $$\cdot$$ $$r$$ $$+$$ $$2$$ $$\cdot$$ $$r$$ $$\cdot$$ $$\sin(\dfrac{\theta}{2})$$
$$P$$: the perimeter of the segment
$$r$$: the radius of the circle
$$\theta$$: the angle of the sector
$$\pi$$: A mathematical constant with an infinite decimal tail
The SI unit of perimeter is: $$meter\text{ }(m)$$
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Find $$P$$
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## Find $$P$$

Use this calculator to determine the perimeter of a circular segment when the angle of the corresponding sector and the radius are given.
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$$r$$
$$meter$$
$$\theta$$
$$degree$$
$$\pi$$ : A mathematical constant with an infinite decimal tail