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An arc of the circle is a proportion of its circumference. if the angle at the centre of a circle with radius r is θ°, then the length of the arc is given by:

arc_length = 2πr × θ°/360° = πrθ ÷ 180

If the angle α is measured in radians instead, then a full turn is 2π radians, and:

arc_length = 2πr × α/2π = αr

ie the arc_length is the angle measured in radians times the radius.

Q: What is the equation to find the arc length of a circle?

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If you have only the arc length then you cannot find the diameter.

If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.

Find the circumference of the whole circle and then multiply that length by 95/360.

length of arc/length of circumference = angle at centre/360 Rearranging the equation gives: length of arc = (angle at centre*length of circumference)/360

It depends on what information you do have.

Related questions

the fraction of the circle covered by the arc

If you have only the arc length then you cannot find the diameter.

If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.

Find the circumference of the whole circle and then multiply that length by 95/360.

To find the arc length, you also need to know the radius (or diameter) of the arc. The arc length is then found by finding the circumference of the full circle (2xPIxradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

length of arc/length of circumference = angle at centre/360 Rearranging the equation gives: length of arc = (angle at centre*length of circumference)/360

It depends on what information you do have.

Use the information you have to find it. -- divide the length of the arc by the total circumference of the circle, or -- divide the central angle of the arc by 360 degrees (a full circle)

The length of the arc of ABC is 22pi. You can get this answer by completing this equation 330/360*24pi, which will give you 22pi.

The length of an arc of a circle refers to the product of the central angle and the radius of the circle.

The length of the arc is r*theta where r is the radius and theta the angle subtended by the arc at the centre of the circle. If you do not know theta (or cannot derive it), you cannot find the length of the arc.

you will need to know the angle subtended by the arc; arc length = radius x angle in radians