Verified Answer :

LammettHash

The unit circle is a circle with radius \(r=1\), so you have

\(L=r\theta\implies4.2=\theta\)

where \(\theta\) is measured in radians, so \(\theta\approx241^\circ\).

JeanaShupp

Answer:  4.2 radian or  \(241^{\circ}\)

Step-by-step explanation:

Let \(\theta\) 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 :-

\(L=r\theta\)

Then , the measure of the angle of the sector is given by :-

\(\theta=\dfrac{L}{r}\\\\\Rightarrow\ \theta=\dfrac{4.2}{1}=4.2\text{ radian}\)

In degrees , the measure of the angle of the sector will be :-

\(4.2\times\dfrac{180^{\circ}}{\pi}=240.642273955\approx241^{\circ}\)

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