3canglesdone2[1].notebook
I. Working with Angles
Positive Angles: counter­clockwise
Negative Angles: clockwise
Large Angles: subtract by 360, until between 0 and 360
Negative Angles: add 360, until between 0 and 360
1) Graph 574 degree
2) Graph ­410 degrees
September 06, 2012
3canglesdone2[1].notebook
Coterminal: Angles that end at the same location
1) Find the smallest positive coterminal angle to 777 degrees.
2) Find the smallest positive coterminal angle to ­510 degrees.
3) September 06, 2012
3canglesdone2[1].notebook
September 06, 2012
II. Radian Measure
To change from radian to degree: multiple by To change from degree to radian: multiple by
1) Convert 342 degrees into radian measure
2) Convert radians to degree measure. 3) Convert radians to degree measure. 4) Convert 57 degrees into radian measure.
5) Convert 4.72 radians to the nearest degree measure.
6) Convert 2.4 radians to the nearest degree measure.
7) What is the radian measure of the smaller angle formed by the hands of the clock at 4 o'clock?
3canglesdone2[1].notebook
September 06, 2012
III. S = r@
s = arc length
@ = central angle measured in radians
r = radius
1) A central angle of a circular garden measures 2.5 radians and intercepts an arc of 20 feet. What is the radius of the garden?
﴾1﴿ 8 ft ﴾3﴿ 100 ft
﴾2﴿ 50 ft
﴾4﴿ 125 ft
2﴿ Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. If the circle has a diameter of 10 yards and the angle subtended by the arc measures 1.5 radians, what is the length, in yards, of the border?
﴾1﴿ 0.5 ﴾3﴿ 5
﴾2﴿ 2 ﴾4﴿ 7.5
3﴿ Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches. What is the diameter of the pizza to the nearest inch?
﴾1﴿ 14 ﴾3﴿ 7
﴾2﴿ 8 ﴾4﴿ 4
*4﴿ A ball is rolling in a circular path that has a radius of 10 inches. What distance has the ball rolled when the central angle is 54°? Express your answer to the nearest hundredth of an inch.