Answer :
The unit circle is a circle with radius [tex]r=1[/tex], so you have
[tex]L=r\theta\implies4.2=\theta[/tex]
where [tex]\theta[/tex] is measured in radians, so [tex]\theta\approx241^\circ[/tex].
[tex]L=r\theta\implies4.2=\theta[/tex]
where [tex]\theta[/tex] is measured in radians, so [tex]\theta\approx241^\circ[/tex].
Answer: 4.2 radian or [tex]241^{\circ}[/tex]
Step-by-step explanation:
Let [tex]\theta[/tex] represents the measure of the angle of the sector.
We know that in a unit circle , the radius = 1 unit
The formula to calculate the length of arc of sector is given by :-
[tex]L=r\theta[/tex]
Then , the measure of the angle of the sector is given by :-
[tex]\theta=\dfrac{L}{r}\\\\\Rightarrow\ \theta=\dfrac{4.2}{1}=4.2\text{ radian}[/tex]
In degrees , the measure of the angle of the sector will be :-
[tex]4.2\times\dfrac{180^{\circ}}{\pi}=240.642273955\approx241^{\circ}[/tex]