MAT-172 Unit 1
Ray - correct answer ✔A part of a line, with one endpoint, that continues
without end in one direction
angle - correct answer ✔two rays with a common endpoint
An angle is in standard position if - correct answer ✔- its vertex is at the
origin of a rectangular coordinate system
- its initial side lies along the positive x-axis
initial side - correct answer ✔the fixed ray of an angle
terminal side - correct answer ✔position after rotation
acute angle - correct answer ✔an angle that measures less than 90 degrees
right angle - correct answer ✔an angle that measures 90 degrees, one
quarter of a complete rotation
obtuse angle - correct answer ✔An angle that measures more than 90
degrees but less than 180 degrees
radian - correct answer ✔the measure of the central angle of a circle that
intercepts an arc equal in length to the radius of the circle
, arc - correct answer ✔Part of a circle connecting two points on the circle.
radian measure - correct answer ✔the length of the intercepted arc divided
by the circle's radius
Radius - correct answer ✔A straight line from the center to the circumference
of a circle or sphere.
radian measure of the central angle - correct answer ✔the cirlc'es
circumference/r
to convert degrees to radians - correct answer ✔multiply degrees by
πradians/180
convert radians to degrees - correct answer ✔multiply by 180/π
coterminal angles - correct answer ✔two angles in standard position that
have the same terminal side
the length of a circular arc - correct answer ✔S=rø
linear speed - correct answer ✔if a point is in motion on a circle of radius r
through an angle of Θ radians in time, then it's linear speed is v = s/t
angular speed - correct answer ✔where s is the arc length given by s=rΘ,
and its angular speed is w=Θ/t
linear speed in terms of angular speed - correct answer ✔v=rw
Ray - correct answer ✔A part of a line, with one endpoint, that continues
without end in one direction
angle - correct answer ✔two rays with a common endpoint
An angle is in standard position if - correct answer ✔- its vertex is at the
origin of a rectangular coordinate system
- its initial side lies along the positive x-axis
initial side - correct answer ✔the fixed ray of an angle
terminal side - correct answer ✔position after rotation
acute angle - correct answer ✔an angle that measures less than 90 degrees
right angle - correct answer ✔an angle that measures 90 degrees, one
quarter of a complete rotation
obtuse angle - correct answer ✔An angle that measures more than 90
degrees but less than 180 degrees
radian - correct answer ✔the measure of the central angle of a circle that
intercepts an arc equal in length to the radius of the circle
, arc - correct answer ✔Part of a circle connecting two points on the circle.
radian measure - correct answer ✔the length of the intercepted arc divided
by the circle's radius
Radius - correct answer ✔A straight line from the center to the circumference
of a circle or sphere.
radian measure of the central angle - correct answer ✔the cirlc'es
circumference/r
to convert degrees to radians - correct answer ✔multiply degrees by
πradians/180
convert radians to degrees - correct answer ✔multiply by 180/π
coterminal angles - correct answer ✔two angles in standard position that
have the same terminal side
the length of a circular arc - correct answer ✔S=rø
linear speed - correct answer ✔if a point is in motion on a circle of radius r
through an angle of Θ radians in time, then it's linear speed is v = s/t
angular speed - correct answer ✔where s is the arc length given by s=rΘ,
and its angular speed is w=Θ/t
linear speed in terms of angular speed - correct answer ✔v=rw
