Question

question 1
complete the following statement: the angular measure 1.0 radian is equal to
1.57°.
6.28°.
3.14°.
57.3°.
0.0175°.

Explanation:

Step1: Recall the conversion formula

We know that \(2\pi\) radians \( = 360^{\circ}\). So, 1 radian \(=\frac{360^{\circ}}{2\pi}\).

Step2: Substitute the value of \(\pi\)

Since \(\pi\approx3.14\), then 1 radian \(=\frac{360^{\circ}}{2\times3.14}\).
Calculate \(\frac{360}{6.28}\approx57.3^{\circ}\).

Answer:

\(57.3^{\circ}\) (the fourth option)