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*Find the radian measure of the angle with the given degree measure. Round your

ID: 2919743 • Letter: #

Question

*Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

46°

( ) rad

*Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

150°

(    ) rad

* Find the degree measure of the angle with the given radian measure.

____

3

*Find the degree measure of the angle with the given radian measure.

_____

4

( )°

*Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)

1.6

(    )°

*The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

135°

(    ) °

* The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

- ____

   4

( ) rad

* Find an angle between 0° and 360° that is coterminal with the given angle.

430°

(    ) °

5

____

3

(    )°

*Find the degree measure of the angle with the given radian measure.

7

_____

4

( )°

*Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)

1.6

(    )°

*The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

135°

(    ) °

* The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

- ____

   4

( ) rad

* Find an angle between 0° and 360° that is coterminal with the given angle.

430°

(    ) °

*A conical cup is made from a circular piece of paper with radius 8 cm by cutting out a sector and joining the edges as shown below. Suppose = 7/4.

(a) Find the circumference C of the opening of the cup.
C = cm

(b) Find the radius r of the opening of the cup. [Hint: Use C = 2r.]
r = cm

(c) Find the height h of the cup. [Hint: Use the Pythagorean Theorem.]
h = cm

(d) Find the volume V of the cup.
V = cm3 8 cm 8 cm

Explanation / Answer

1) -46 degrees to radians

-46 * pi/180

= -0.802 radians

2) 150 degrees to radians

150* pi / 180

= 2.617 radians

3) 5pi/3 to degrees

5pi/3 * 180/pi

= 300 degrees

4) 7pi/4

= 7pi/4 * 180/pi

= 315 degrees