# Central Angle Of A Circle Formula

## Central Angle of a Circle Formula

The Central Angle of a Circle Formula is the angle formed by two of its radii. A section of the circle known as the Arc Length is formed by the two places on the circle where the radii cross. The opposite end of the radii meets at the centre of the circle.
The Central Angle of a Circle Formula is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle’s two radii intersect the circle’s arc at two separate locations. A circle can be divided into sectors by using the central angle. An excellent illustration of a central angle is a pizza slice. A pie chart is made up of several sectors and is useful for representing various amounts.
A straightforward illustration of a sector with a centre angle of 180° is a protractor. The angle made by a circle’s arc at its centre is another way to describe the central angle.

## What is Central Angle of a Circle Formula?

The angle between two circle radii is determined using the “Central Angle of a Circle Formula.” An angle that the arc of a circle subtends at the circle’s centre is another way to describe a central angle. The arms of the central angle are formed by the radius vectors. Using solved examples, students can comprehend the Central Angle of a Circle Formula.

### Solved Examples

1. Sam uses a protractor to measure the angle in a triangle and finds it to be 60 degrees. Transform the angle into radian units.
• Solution: The angle of 60° that is stated is in sexagesimal measure.Sexagesimal / 180° = RadianRadian: 60° divided by 180°