What is the measure of 0 in radians? In the diagram, 0 is a central angle, 3 is the radius, and pi is the arc
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Given:
Given that the radius of the circle is 3 units.
The arc length is π.
The central angle is θ.
We need to determine the expression to find the measure of θ in radians.
Expression to find the measure of θ in radians:
The expression can be determined using the formula,
[tex]S=r \theta[/tex]
where S is the arc length, r is the radius and θ is the central angle in radians.
Substituting S = π and r = 3, we get;
[tex]\pi=3 \theta[/tex]
Dividing both sides of the equation by 3, we get;
[tex]\frac{\pi}{3}=\theta[/tex]
Thus, the expression to find the measure of θ in radians is [tex]\theta=\frac{\pi}{3}[/tex]