How to Find Central Angle?

Use the formula: Central angle = arc length ÷ radius

Use the formula: Central angle = 360° × (arc length ÷ circumference)

Use the formula: Central angle = 360° × (sector area ÷ area of circle)

If the angle is in radians, use: Central angle = arc length ÷ radius

If the angle is in degrees, convert from radians using: degrees = radians × 180 ÷ π

Identify the radius and the arc length or sector area first

Substitute the known values into the appropriate formula

Solve for the central angle

Check that the angle measure matches the required unit: degrees or radians

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