50 pts and brainliest. Is the ratio of arc length to r always equal to pi? What is it equal to? Please only answer if you know it, this is super important!! If it's right I'll mark you brainliest!

It can sometimes be equal to π. However, it is equal to our central angle.

Step-by-step explanation:

First, recall that arc length is given by:

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

The radius r cancels. Hence, we are left with:

So, the ratio of the arc length to the radius does not equal π (although it can sometimes if the central angle is π radians (or 180°)). Rather, the ratio is equivalent to the central angle.

So, for example, if we have a circle with radius 7 with a central angle of 3π/2 (this gives us an arc length of 21π/2), then the ratio of the arc length to the radius will be 3π/2 (our central angle).

Sometimes it can be equal to π. It is equal to our central angle.

Step-by-step explanation:

Recalling arc length is given by:

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

rθ/θ

The radius r cancels. Hence, we are left with:

= θ