In the problem, sdenotes the length of the arc of a circle of radius rsubtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.

r=6feet, θ=2radians, s=?

Short Answer

Expert verified

The length sof the arc is 12feet.

Step by step solution

01

Step 1. Given information

r=6feet,θ=2radians,s=?

02

Step 2. Formula Used

For a circle of radius r, a central angle of θradians subtends an arc whose length sis

s=rθ

03

Step 3. Calculation

We have,

r=6feetandθ=2radians

The length sof the arc is

s=rθ

s=6×2

s=12feet

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