# 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?

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### 1 Answer

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.**