Find the radius of a circle on which a central angle measuring 5π6 radians intercepts an arc on the circle with a length of 35π centimeters.

Respuesta :

The radius of circle is 42cm.

What is radius ?

central angle= 5π/6

length = 35π

As, we know length of arc

l = r*

r= l /  

r= 35π /  5π/6

r=  35π * 6 / 5π

r= 7*6

r= 42 cm

A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of such line segments. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel." Radii or the typical English plural radiuses can be used to pluralize the word radius.

R or r are the most used abbreviations and names for the radius mathematical variable. By extension, the radius R is equal to the diameter D: The phrase may refer to an object's circumradius, circumscribed circle radius, or circumscribed sphere radius if it lacks a center. The radius could be greater than half the diameter in any scenario.

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