Question

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

Answer 1

The measure of the given angle in degrees is:

246 degrees

Explanation:

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°

Answer 2

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`