Answer :

sqdancefan
The appropriate formula is
  s = r·θ
where s is the arc length, r is the radius, and θ is the central angle in radians.

You have r = (6 in)/2 = 3 in, and θ = 45° = π/4 radians. Then
  s = (3 in)·(π/4) = 3π/4 in ≈ 2.356 in
Hello!

As the diameter is 6, we know the radius is 3. To convert degrees to radians, we use the following formula. We will have pi=3.14.

[tex]x( \frac{ \pi }{180})[/tex]

We will plug in our x value.

45([tex] \pi [/tex])/180
[tex] \frac{45 \pi }{180} = \frac{ \pi }{4} [/tex]

Therefore, our arc length is pi/4 radians. This is about 0.79. If we multiply this by our radius, 3, we get an arc length of about 2.37 inches.

I hope this helps!

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