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Never. The radius of any central angle of one circle will ALWAYS be the same.

And not only that ...

To answer the question (or to correct the statement that was stated in the place

where a question was to be expected):

THE SUM of the central angles of a circle is always 360 degrees, whether the radius

of the circle is 1 nanometer or 1 light-year.

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Related Questions

Are central angles equal to the measure of their intercepted arcs?

Yes as for example in the case of a sector of a circle.


What are the central angles of a circle?

The central angle is the angle that has its vertex at the center of the circle.


If a circle is divided into 5 sections by 5 radii and each of the central angles formed are of equal measure what is the measure of each central angle?

72 degrees 72 degrees


How are inscribed angles different from central angles?

Inscribed angles and central angles differ in their definitions and the way they relate to a circle. A central angle is formed by two radii extending from the center of the circle to the circumference, while an inscribed angle is formed by two chords that meet at a point on the circle itself. The measure of a central angle is equal to the arc it subtends, whereas an inscribed angle measures half of the arc it intercepts. This fundamental difference affects their geometric properties and applications in circle-related problems.


What are the different types of angles in a circle?

There are many angles inside a circle. You have inscribed angles, right angles, and central angles. These angles are formed from using chords, secants, and tangents.


What is angles in segment?

Angles in a segment refer to the angles formed within a particular segment of a circle, specifically the angles that are subtended by the endpoints of the segment at any point on the arc. These angles can be classified into different types, such as inscribed angles, which are formed by two chords in the circle that meet at a point on the circle. The measure of an inscribed angle is always half the measure of the central angle that subtends the same arc. Understanding these angles is essential in various geometric concepts and theorems related to circles.


Will an inscribed angle always have its vertex on the circle?

Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.


What is the sum of the central angles of a circle?

360 degrees


How many central angles can or does a circle have?

Infinitely many.


What measure of a intercepted arc?

Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.


Is there an infinite number of possible central angles in a circle?

Yes.


How many central angles can be inscribed in a circle?

Infinitely many.

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