Taking the period of daylight on a certain day to be from 5.30 a.m. to 7.00 p.m., calculate the angles (in a pie chart) for the periods of daylight and of darkness on that day.
Worked solution (try it first)
From 5.30 a.m. to noon is 621 hours, and from noon to 7.00 p.m. is 7 hours, so daylight lasts 1321 hours.
Daylight angle: 2413.5×360∘=202.5∘
=202∘30′.
Darkness takes the rest: 360∘−202∘30′=157∘30′, option C.