Question

explore radian measure by following these steps.

1. move point l to set arc length t equal to arc length x.
2. move point m to set arc length u equal to the other two arc lengths.
3. what is best estimate for the number of radians in one - half circle? 1

Explanation:

Step1: Recall radian - arc length relationship

The radian measure of an angle $\theta$ in a circle of radius $r$ is given by $\theta=\frac{s}{r}$, where $s$ is the arc - length subtended by the angle. For a unit - circle ($r = 1$), the radian measure of an angle is equal to the arc - length.

Step2: Know the arc - length of a half - circle

The circumference of a full circle is $C = 2\pi r$. For a half - circle, the arc - length $s=\pi r$. In a unit - circle ($r = 1$), the arc - length of a half - circle is $\pi\approx3.14$.

Answer:

3