An engineer is designing a curve on a highway. The curve will be an arc of a circle with a radius of 1260 ft.  the central angle that intercepts the curve will measure (pi)/6 (π/6) radians.  To...

An engineer is designing a curve on a highway. The curve will be an arc of a circle with a radius of 1260 ft.  the central angle that intercepts the curve will measure (pi)/6 (π/6) radians.  To the nearest foot, what will be the length of the curve?

Asked on by mpumpkin

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embizze | High School Teacher | (Level 1) Educator Emeritus

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We use the formula `s=rtheta` where s is the arc length, r the radius of the circle, and `theta` the central angle(in radians):

Given r=1260 and `theta=pi/6` .

Then `s=1260 pi/6210pi~~659.734`

So the length of the curve is approximately 660ft.

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