Question

what is the relation between angle length of arc and radius of a circle​

Answer 1

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle.

The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length.





Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.



Arc Length: In a circle, the length of an arc is a portion of the circumference.   The letter "s" is used to represent arc length.            



Consider the following proportion:



If we solve the proportion for arc length, and replace "arc measure" 

with its equivalent "central angle", we can establish the formula:



Notice that arc length is a fractional part of the circumference. For example, an arc measure of 60º is one-sixth of the circle (360º), so the length of that arc will be one-sixth of the circumference of the circle...........

.

.

.

.

hope it helps you......