Question

The following table shows participation in various recreational activities by students of a class during the summer holidays.
`{:("Recreational activity","Swimming","Painting","Cycling","Dancing"),("Number of students",27,9,15,21):}`
if we represent these values in the form of a pie chart, then find the central angle of the sector representing dancing.
A. `114^(@)`
B. `90^(@)`
C. `105^(@)`
D. `98^(@)`

Answer 1

Correct Answer - C
For the given data, the total number of students = 27+9+15+21=72
Therefore, the central angle of the dancing activity `=(21)/(72)xx360^(@)=105^(@)`
Hence, the correct option is (c ).