A circular highway curve has a radius of 351 ft and a central angle
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A circular highway curve has a radius of 351 ft and a central angle

1. a) Find a positive angle less than 360° that is coterminal with the given angle.

150°

b) Find a positive angle less than 2π that is coterminal with the given angle.

19π/6

2. A circular highway curve has a radius of 351 ft and a central angle of 15.0° measured to the center line of the road. Find the length of the curve. Round to one decimal place.

3. A pendulum swings through an angle of 12.4°. If the pendulum is 72.5 cm long, find the area swept by the pendulum. Round to one decimal place.

Hint
MathematicsCoterminal angles are angles that share the same initial and terminal sides. To find an angle coterminal to another you can do so by simply adding or subtracting any multiple of 360 degrees or 2 pi radians....

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