Given it is currently 1:15 pm as displayed by your clock sho…

Given it is currently 1:15 pm as displayed by your clock shown here on the right, what is the angle α in degrees, AND radians as a fraction of π, between the minute and hour hands in standard position (Hint: if one hour goes by, how many degrees will each hand have moved? Show your steps. 2 points)?   Is the angle α acute, obtuse, right, straight, coterminal, complementary, or supplementary (Support your answer. 1 point)?   What is the angle β in degrees, AND radians as a fraction of π (Show your steps. 2 points)?   Is the angle β acute, obtuse, right, straight, coterminal, complementary, or supplementary (explain. 1 point)?   If the radius of your clock is r=1.5 inches, what is the arclength of the segment defined by the angle α (Show the formula you used. 1 point)?   If the clock face shown above had two colors, one for the sector defined by α and another one for the sector defined by β, what would be the area of the sector defined by α as a fraction of the total area (show your steps. 2 points)?