Taking the period of day light on a certain day to be from 5.30a.m to…

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

Correct Answer: Option 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 360^o
= (frac{291600}{1440})
= 202.5^o
202.5^o = 202.30^o
darkness period = 360^o – 202^o 30′
= 157^o30′
= 202^o30′ 157^o 30′