Arc of the Circle Formula

The formula shown below can be used to determine an arc’s length.

Arc Length of the Circle = 2πr(θ/360°)

Where,

r denotes the radius of the circle,

360° the angle of one full revolution, and

θ which is the centre angle of the arc.

π (Pi) has a value of 3.14.

Simplifying this formula further we get,

Arc Length of the Circle = (θ/360°) 2πr = (θ/180°) πr

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Arc of a Circle

Arc of a Circle is a part of the circumference of a circle or we can also say the Arc of a Circle is some percentage of the circle’s circumference. As we know, a circle is defined as a two-dimensional geometrical object where all the points are equidistant from the center and the distance measured around the circle is known as a circumference and some portion of the circumference taken at a time is known as the Arc of a Circle.

In this article, we will learn the Arc of a Circle in detail, including its definition, types, and arc length formula. Other than that we will also discuss the angle subtended by an arc and the theorem related to this angle as well.

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