vocab/formula
What is a radian?
the angle created when the arc length of a circle is equal to the radius of that circle.
value of pi (bonus if stated to the ten thousandths)
3.1415
A pizza is sliced into 8 equal pieces. If you eat two slices, what is the total angle of the pizza slices you have eaten in degrees?
the angle is 90 degrees.
20 degrees
1/9 pi
2/3 pi
120 degrees
What is a degree?
a unit used to represent the measurement of an angle.
how many degrees is quadrant 1?
90 degrees
Emily is drawing a clock face where the angle between each number is equal. What is the angle in degrees between two adjacent numbers on the clock?
angle is 30 degrees.
60 degrees
1/3 pi
3/4 pi
135 degrees
Radians formula
degrees * 2pi/360
180 degrees to radians ?
pi radians
A fan has 3 blades, and they are equally spaced. What is the angle in degrees between any two blades of the fan?
angle is 120 degrees.
36 degrees
1/5 pi
11/12 pi
165 degrees
Degrees formula
radians * 360/2pi
the unit in which radians are measured
no unit
During a geometry class, a student draws a straight line creating two angles on a piece of paper. One angle measures 75 degrees. What is the measure of the other angle in degrees?
larger angle measures 105 degrees.
1.83 radians
200 degrees
10/9 pi
13/18 pi
130 degrees
this term refers to the angle in radians that is equivalent to 360 degrees, representing a complete circle.
2pi radians
how many degrees in quadrant 3
180 to 270 degrees
A triangular park has angles measuring 60°, 60°, and 60°. If you were to walk from one corner of the park to the opposite corner, creating an angle with your path and one side of the park, what would be the angle of this path in degrees? Convert this angle to radians, rounding your answer to the nearest hundredth.
angle measure 60 degrees.
1.05 radians.
360 degrees
2 pi
7pi/ 4
315 degrees