Respuesta :

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]

Answer:

Step-by-step explanation:

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