Acircle has a circumference of 6. it has an arc of length 1. what is the central angle of the arc, in degrees?

The central angle of the arc is 60°

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees

we have

C=6 units

so

by proportion

Find the measure of the central angle for an arc of length 1 units

360°/6=x/1

x=360°/6=60°

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step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value