Case Study: The length of the perimeter of a slice of a pizza in the form of a sector of circle is…
Mathematics20254 marksLong answer
Case Study:
The length of the perimeter of a slice of a pizza in the form of a sector of circle is 20 cm.
$r$ be the radius of the circle, sectorial angle be $\theta$ radian and $l$ be the length of the arc.
Based on the above information, answer the following questions.
(a)
Express the radius of the sector in terms of sectorial angle $\theta$ radian.
(b)
Let A be the area of the slice. Then, express A in terms of r.
(c)
For the maximum value of A, find the value of the sectorial angle.
