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Central Angle Calculator

Math

Find the central angle of a circle from its arc length and radius.

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01,000,000
0.011,000,000

Central angle (radians)

1.5708

The central angle in radians

Central angle (degrees)

90.0002

The central angle in degrees

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is a central angle?

A central angle is an angle with its vertex at the center of a circle, with its two arms extending out to the circumference.

What is the central angle for an arc length of 15.708 and a radius of 10?

An arc length of 15.708 with a radius of 10 gives a central angle of about 1.5708 radians, which equals exactly 90 degrees.

What is the formula for central angle?

The central angle in radians equals the arc length divided by the radius.

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