Answer :
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
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!
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!