Originally Posted by

**chris111690** 1) How many radians does the minute hand of a clock rotate during your birthday?

how many revolutions does the minute hand make in 24 hours?

how many radians in one revolution?

2) A circular sector has an area of 122 cm^2 and a radius of 2 cm. what is the arc length of the sector?

$\displaystyle \textcolor{red}{A = \frac{r^2 \theta}{2}}$

$\displaystyle \textcolor{red}{s = r\theta}$

3) If the radius of a circular sector is 5 m and the arc length is 10 cm, find the central angle of the sector.

see the second equation in (2)

4) A ferris wheel has a radius of 35.5 ft. if the ferris wheel completes one revolution in 30 sec, find the velocity of the outer edge in m.p.h. Use V=W*R

W=Omega

one rev in 30 sec is 2 rev/min

1. convert rev/min to rad/hr

2. convert 35.5 ft to miles

5) find to four sig digits in radians, for 0 ≤ theta < 2pi, if sec(theta)= -0.3422 and csc (theta) > 0.

if sec(t) < 0 and csc(t) > 0 , then what quadrant is (t) in ?

remember sec(t) = 1/cos(t)