For a circle of radius 3 feet find the arc length s subtende

For a circle of radius 3 feet, find the arc length s subtended by a central angle.

A. s = 6/5 pi feet

------------------------

For circle of radius of 6 feet, find the arc length s subtended by a central angle of 18 degrees

A. s = 3/59

B. s = 6/5 feet

C. s = 108pi feet

D. s = 9/5pi feet

-----------

A pully of radius 10 cm turns at 6 revolutions per second. what is the linear velocity of the belt drivering the pulley in meters.

A. 1.67 m/s

B. 166.67 m/s

C. 376.99 m/s

D. 3.77 m/s

--------------

Use the graph of the sine function to find the value of theta which is sin of theta = 1.

A. = theta = 2pik

B. theta = 3pi.2 + 2pik

C. theta = pi +2pik

D. theta = pi/2 + 2pik

2) radius = 6 feet; Angle subtended = 18 deg

180 deg ---subtends pi*r

Arc length = (pi*r/180)* 18

= ( pi*6/180)*18 = 6pi/10 = 3pi/5 feet

3) Anular velocity* radius = linear velocity

angular speed = revolutions*2pi = 2pi*6 = 12pi rad/sec

Linear velocity = 12pi* 10/100 mt/sec

= 3.77 mt/sec

Option D