MAC1114 TEST 1 2024-2025 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 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 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 degree) +
M'/60 +
S''/3600
= X°
Conversion from X.YZ° to D°M'S'': - Answer Take X°, it will be D°
Take decimal .YZ x 60 (because you're dividing by 1/60)
That answer will be M'
If you have another decimal, multiply again by 60. That will be your S''
The minute hand of a clock is 9 inches long. How far does the tip of the minute hand
move in 40 minutes? - Answer Use arc formula s = rθ
We know r = 9 inches, but what about θ?
We also know that one revolution around a clock is 2pi. Therefore, 2pi = 60 minutes.
So, 40/60 x 2pi = θ
Multiply θ by r to give you s.
Formula for angular speed: - Answer w = θ/t
Formula for transverse speed:
Manipulate it. - Answer v = s/t
v = r θ /t
So v= wt
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 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 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 degree) +
M'/60 +
S''/3600
= X°
Conversion from X.YZ° to D°M'S'': - Answer Take X°, it will be D°
Take decimal .YZ x 60 (because you're dividing by 1/60)
That answer will be M'
If you have another decimal, multiply again by 60. That will be your S''
The minute hand of a clock is 9 inches long. How far does the tip of the minute hand
move in 40 minutes? - Answer Use arc formula s = rθ
We know r = 9 inches, but what about θ?
We also know that one revolution around a clock is 2pi. Therefore, 2pi = 60 minutes.
So, 40/60 x 2pi = θ
Multiply θ by r to give you s.
Formula for angular speed: - Answer w = θ/t
Formula for transverse speed:
Manipulate it. - Answer v = s/t
v = r θ /t
So v= wt
