If the measure of arc CB is 8/3 units, what is the measure of CAB?

Question:

If the measure of arc CB is units, what is the measure of ∠CAB?

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is   units.

The length L of an arc is given by;

L =         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  

Substitute these values into equation (i) as follows;

=

=>   =

Cancel 8 on both sides    

=

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

β = 120°

Therefore, the measure of ∠CAB is 120°

c

step-by-step explanation:

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step-by-step explanation:

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