Question

convert the angle in radians to degrees.
$\frac{pi}{43}$ radians
$\frac{pi}{43}$ radians = $square^{circ}$
(round to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the angle in degrees and $R$ is the angle in radians.

Step2: Substitute the given value

Here, $R=\frac{\pi}{43}$. So, $D=\frac{\pi}{43}\times\frac{180^{\circ}}{\pi}$.
The $\pi$ terms cancel out, and we get $D = \frac{180}{43}$.

Step3: Calculate and round

$\frac{180}{43}\approx4.19$

Answer:

$4.19$