Calculate Arc Length Of A Circle Using Formula | Step-By-Step Guide For Beginners

Arc length of a circle

A fractional distance of the circumference of a circle defined by the arc

The arc length of a circle is the length or distance of a part of the circumference of a circle. It is denoted by the symbol s or L and is measured in units such as centimeters, meters, or feet.

The formula for the arc length of a circle is given by:

s = θ/360 x 2πr

Where s is the arc length, θ is the central angle measured in degrees, r is the radius of the circle, and π is a constant value of 3.14 approximately.

To find the arc length of a circle, you need to know the value of the central angle and the radius of the circle. Once you have these values, you can substitute them into the formula and calculate the arc length.

For example, if the radius of a circle is 7 cm and the central angle is 60 degrees, then the arc length of the circle can be calculated as:

s = 60/360 x 2π(7)
s = 1/6 x 2π(7)
s = 7/3π
s ≈ 7.33 cm

Therefore, the arc length of the circle is approximately 7.33 cm.

More Answers: