# In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.

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The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

### What is the Length of an Arc?

Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.

We are given the following:

Reference angle (∅) = 46°

Plug in the values into the length of arc formula:

Length of arc = 46/360 × 2π(3)

Length of arc = 2.41 units.

Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.