1.Find the length of the arc of a circle of diameter14meters subtended by a central angle of 3/5radians.

Round your answer to two decimal places.

s=_______ meters

2.A sector of a circle has a diameter14 feet and an angle of /4 radians. Find the area of the sector

Round your answer to four decimal places.

A=_______ ft²

3.A bicycle with 24-inch diameter wheels is traveling at 17 mi/h.

Find the angular speed of the wheels in rad/min.

Enter the exact answer.

=____________ rad/min

How many revolutions per minute do the wheels make?

Round your answer to three decimal places.

The wheels make____________ revolutions per minute.

4. A CD has diameter of 110millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about240 RPM (revolutions per minute). Find the linear speed.

Round your answer to two decimal places.

The linear speed of reading along the outer edge of the discis ____________meters per second.

5.Consider a right triangle with a side of lengthxoppositeangle A, a side of lengthyoppositeangle B, and a hypotenuse of length zopposite the right angle. IfsinB=1/3 and x=8, find the length of the other side (y) and the length of the hypotenuse (z).

Enter the exact answers.

y=__________

z= __________

6. Use Figure 1to evaluate each trigonometric function of angle A. The side adjacent to angleAhas length 6 and the side opposite angleAhas length 10.

A 6 10 Figure 1B 16 100 b