Front

What is a co-terminal angle?

Back

Co-terminal angles are angles that share the same terminal side when drawn in standard position. To find a positive co-terminal angle, add 360° to the given angle.

Front

What is the positive co-terminal angle for -120°?

Back

240°

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by \( \frac{180}{\pi} \).

Front

Convert \( \pi \) radians to degrees.

Back

180°

Front

What is the total number of radians in a circle?

Back

A circle has \( 2\pi \) radians.

Front

How do you find the arc length of a circle?

Back

Arc length can be found using the formula: \( s = r\theta \), where \( s \) is the arc length, \( r \) is the radius, and \( \theta \) is the angle in radians.

Front

If a circle has a radius of 4 ft and the angle is \( \frac{3\pi}{4} \) radians, what is the arc length?

Back

Arc length = \( 4 \times \frac{3\pi}{4} = 3\pi \) ft.

Front

What is angular speed?

Back

Angular speed is the rate of change of the angle with respect to time, usually measured in radians per unit time.

Front

How do you calculate angular speed from revolutions per minute (rpm)?

Back

Angular speed in rad/min = rpm \( \times 2\pi \).

Front

If a ceiling fan rotates at 45 rpm, what is its angular speed in rad/min?

Back

Angular speed = 45 \( \times 2\pi \approx 282.7 \) rad/min.