Answer: Measurement of the angle that subtends the arc is 229.1832°.
Step-by-step explanation:
Since we have given that
Radius of a circle = r
Length of an arc = 4r
We need to find the measurement of the angle that subtends the arc is given by
[tex]\theta=\frac{Length}{Radius}\\\\\theta=\frac{4r}{r}\\\\\theta=4\ radians[/tex]
As we know that
1 radian = 57.2958 degrees
so, 4 radians will equal to [tex]4\times 57.2958^\circ=229.1832^\circ[/tex]
Hence, Measurement of the angle that subtends the arc is 229.1832°.
