Question

The number of hours spent by a school student on various activities on a working day, is given. Construct a pie chart using the angle measurment.

Activity	Sleep	School	Play	Homework	Others
Number of hours	$8$	$6$	$3$	$3$	$4$

Answer 1

Number of hours spent in differnt activities in a day of $24$ hours are converted into component parts of ${360}^o$. Since the duration of sleep is $8$ hours, it should be represented by $\frac{8}{24}\times {360}^o={120}^o$.
Therefore, the sector of the circle representing sleep hours should have a central angle of ${120}^o$.
Similarly, the sector representing other activities such as school, play, homework, and others are calculated in the same manner in terms of degree, which is given in the following table.

Activity	Duration in hours	Central angle
Sleep	$8$	$\frac{8}{24}\times {360}^o={120}^o$
School	$6$	$\frac{6}{24}\times {360}^o={90}^o$
Play	$3$	$\frac{3}{24}\times {360}^o={45}^o$
Homework	$3$	$\frac{3}{24}\times {360}^o={45}^o$
Others	$4$	$\frac{4}{24}\times {360}^o={60}^o$
Total	$24$	${360}^o$