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 is D

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'