10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

The perimeter of the pizza slice shown in (I), is:

A) \[(\pi +12)\] inch

B) \[(\pi +10)\] inch

C) \[(2\pi +10)\]inch

D) \[(2\pi +12)\] inch

Correct Answer: D

Solution :

Perimeter of a sector \[=l+2r,\] where l is the length of the arc given by \[\frac{\theta }{360}\times 2\pi r\]

Here, \[\theta =60{}^\circ \] and \[r=6\] inch

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,l=\frac{\theta }{360}\times 2\times \pi \times 6\]

and \[2r=2\times 6=12\]

\[\therefore \] Perimeter \[=(2\pi +12)\] inch

So, option [d] is correct.