Stuck on c2 questions can anyone explain?

could anyone explain what part b is asking? I am really confused as to what it means by deduce the area and I don't get how u would do c and d either thanks so much

You know that the area of a sector with radius r and angle theta is ....

and the previous question made you find theta in terms of p and r so...

I think you mean that theta = p/r.

The area of the sector is 1/2 * r^2 * theta, but you don't know what theta is, only how to work it out, which you got in part a).

Think of it like simultaneous equations - you've found an equation for theta and put it into the equation you're concerned about - which is the area of the sector.

I get it now thanks but I don't know how you would do part d.

Think about how you would find the minimum value theta can be and the maximum, and then you've pretty much got the range.