Engineering Board Exam Reviewer · Angles and Trigonometric Functions · medium

The minute hand of a clock is 8 cm long. How far does its tip travel in 35 minutes? Give the answer in cm.

1. 14 π/3 14.66
2. 56 π/3 58.64
3. 28 π/3 29.32
4. 14 π/9 4.89

Answer

C. 28 π/3 29.32

Solution

In 35 min the hand turns 35/60×360°=210°=7π/6 rad. s=r =8·7π/6=28π/3 29.32 cm.

More Angles and Trigonometric Functions questions

1. A wheel 40 cm in diameter rotates at 300 rpm. Find the linear speed of a point on its rim in m/s.
2. A circular sector has a radius of 10 m and a central angle of 72°. Find its area in square meters.
3. Find the exact value of 240°.
4. Find the exact value of 150°.
5. Find the reference angle of 215°.
6. In which quadrant does an angle lie if <0 and >0?
7. An arc of a circle of radius 12 cm subtends a central angle of 75°. Find the arc length in cm.
8. A full circle contains 6400 mils. How many mils are in an angle of 45°?
9. Convert 5π/12 radians to degrees.
10. Convert 135° to radians.

All Angles and Trigonometric Functions questions