MAC1114 TEST 1 Exam Questions With Correct Answers
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Course
MAC1114
Institution
MAC1114
MAC1114 TEST 1 Exam Questions With
Correct Answers
Circumference of a circle: - answerC = 2 pi r
Area of a circle: - answerA = pi r^2
If an object moves at an average speed (rate) r the distance d covered in time t is given by the
following formula. - answerDistance equals = Rate •Time
An a...
MAC1114 TEST 1 Exam Questions With
Correct Answers
Circumference of a circle: - answer✔C = 2 pi r
Area of a circle: - answer✔A = pi r^2
If an object moves at an average speed (rate) r the distance d covered in time t is given by the
following formula. - answer✔Distance equals = Rate •Time
An angle theta (θ) is in ________ _______ if its vertex is at the origin of a rectangular coordinate
system and its initial side coincides with the positive x-axis. - answer✔An angle theta (θ) is in
standard position if its vertex is at the origin of a rectangular coordinate system and its initial
side coincides with the positive x-axis
A ______ _______ is a positive angle whose vertex is at the center of a circle. - answer✔A
central angle is a positive angle whose vertex is at the center of a circle.
If the radius of a circle is r and the length of the arc subtended by a central angle is also r, then
the measure of the angle is 1 _______. - answer✔If the radius of a circle is r and the length of
the arc subtended by a central angle is also r, then the measure of the angle is 1 radian.
Arc length formula: - answer✔s = rθ
Area of the sector formed by this angle thetaθ is: - answer✔A =1/2 r^2 θ.
Converting radians to degrees.
(Remember, if it has pi, eliminate it. If it doesn't have pi, give it pi). - answer✔x 180/pi
Converting degrees to radians. - answer✔x pi/180
D°M'S'' - answer✔D degrees. M minutes, S seconds
Conversion from D°M'S'' system to X°: - answer✔D° (already degrees) +
M'/60 +
S''/3600
= X°
Angular speed equation: - answer✔w = θ/t
Linear speed equation:
Manipulate it. - answer✔v = s/t
v = r θ /t
So v= wt
A gondola on an amusement park ride spins at a speed of 13 revolutions per minute. If the
gondola is 21 feet from the ride's center, what is the linear speed of the gondola in miles per
hour?
RPM to MPH - answer✔1. What formula?
Linear speed = s/t
Linear speed = r θ /t
Linear speed =21 θ / minute
Convert rpm to θ by x 2pi because each revolution equals 2pi radians.
13 rpm x 2pi = 26 pi radians
Linear speed = 21 x 26 pi radians / minute
Linear speed = 1715 feet / minute
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