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True [87]
4 years ago
15

An angle measures 4.3 radians To the nearest degree, what is the measure of the angle? degrees

Mathematics
2 answers:
Veseljchak [2.6K]4 years ago
4 0
Well, we know there are 180° in π radians, how many degrees are there in 4.3 radians?

\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
d&4.3
\end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{4.3}\implies \cfrac{180\cdot 4.3}{\pi }=d
bekas [8.4K]4 years ago
3 0
<h2>Answer:</h2>

The measure of the given angle in degrees is:

                          246 degrees

<h2>Step-by-step explanation:</h2>

We are given a  angle measure in radians.

We have to convert the given angle measure to degrees.

We know the conversion that:

 π radians= 180°

⇒  1 radians= 180°/π

Hence, the value of 4.3 radians will be, we multiply both side of the equation by 4.3 :

   4.3 radians=246.372°

Hence, to the nearest degree i.e. to the whole number of a degree we get the value of:

    4.3 radians= 246°

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