Taking the period of day light on a certain day to be from 5.30a.m to 7.00p.m. Calculate the angle of a pie chart designed to show the periods of the day light and of darkness on that day
A. 187o30' B. 172o30' C. 135o225o D. 202o30' 157o 30'
Correct Answer: D
Explanation
Period of day light is from 5.30 to 7.00p.m - 13hrs 30min. interval 24hrs make 1 day ∴ period of darkness = 24hrs - 13hrs 30mins = 10hrs 30mins. Angle of sector of daylight = \(\frac{13 \times 60 + 30 \times 360}{(24 \times 60)}\) = \(\frac{810}{1440}\) x 360o = \(\frac{291600}{1440}\) = 202.5o 202.5o = 202.30o darkness period = 360o - 202o 30' = 157o30' = 202o30' 157o 30'
