Pr-Calculus Help: r=5ft, θ=2°; find s?
Use the arc length formula and the given information to find the indicated quantity.
r=5ft, θ=2°; find s
could you please show me how to get the answer step by step .
Update:a.) 1/36 πft
b.) 20 ft
c.) 10 ft
d.) 1/18 πft
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Verified answer
s=rθ where θ is in RADIANS
so
................π
s = (5)(2°▬▬) = π/18 feet ≈ 0.17453 feet
................180°
Edit:
I've provided the work. All you have to do is
look at the choices and see which one it matches.
They put (1/18)π ft and THAT equals π/18 as one of the choices so THAT is the one.
The arc length formula is a proportion:
s / 2pi r = (theta) / 360. Here r = 5, and theta = 2. So,
s / 10pi = 2 / 360
s = 20pi / 360
= pi / 18
= .1745 ft
All you have to know is the formula for arc length which is s = rθ (where θ is in radians)
Since θ is given in degrees we need to convert it to radians
2°Ï/ 180° = Ï/90° radians
s = (Ï/90°) * 5
s = 0.1745 feet