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6 votes
Question

Calculate the arc length for a circle whose radius is 6 with a central angle θ=135°. S=

User Sabir Khan
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1 Answer

12 votes
12 votes

9514 1404 393

Answer:

S = 4.5π ≈ 14.14 units

Explanation:

The arc length is given by ...

s = rθ . . . . . r = radius; θ = central angle in radians

The angle 135° is ...

135° = 135°(π/180°) = 3π/4 radians

The arc of interest has length ...

s = 6×3π/4 = 9/2π ≈ 14.14 . . . units

User JPilson
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