1/21/2025 Quiz

(Level 1/2) Given the angles, find the conterminal angle that is between 0\degree and 360\degree

1000\degree

523\degree

-523\degree

Given the angles measured in radians, solve for the conterminal angles

\frac{7\pi}{2}radians

\frac{-5\pi}{3} radians

(Level 3/4) Given the angles, find the reference angle in degrees

1000\degree

523\degree

-523\degree

Given the angles measured in radians, solve for the reference angles in radians

\frac{7\pi}{2}radians

\frac{-5\pi}{3} radians

(Level 1/2) Solve for the missing sides. If applicable, leave you answer in radical form (decimal answers will be marked wrong)

a=

b=

c=

d=

(Level 3/4) Solve for the missing sides. If applicable, leave you answer in radical form (decimal answers will be marked wrong)

a=

b=

c=

d=

(Level 1/2)

Solve for both the arc length and area of the sector of the figure below. (Hint: Convert the degrees to radians first)

Arc Length:

Area of Sector:

(Level 3/4) Ramirez was told that he can't eat a lot of cheese. Unfortunately, he is only allowed to eat 36\pi \space in^{2} of area of pizza. When he goes to Little Caesar's, he asked the cashier if they can cut the slices of so each piece is 36\pi\space in^{2} in area. How many radians would each slice measure if they cut it that way? Assume the diameter of the pizza is 24 in.

Additionally, Ramirez was warned against eating too much gluten. He is told that he can only eat 5\pi in of crust. If he eats all of the pizza slice in his entirety, is he following his doctors orders. Explain.