SOLUTION: I have been struggling on this math problem for awhile now and I was wondering if anyone could help me? It has a picture with it, so I am going to describe the picture as best as

Question 134938This question is from textbook Algebra Structure and Method
: I have been struggling on this math problem for awhile now and I was wondering if anyone could help me? It has a picture with it, so I am going to describe the picture as best as I can!! I would deeply appreciate it!! Please and Thank you!!
Area Problems
solve.
The area of a circle of a radius r is given by the formula a=pier^2. Use this fact to find a formula for the shaded area in the figure below.
The figure is a big circle with a small circle in side of it. The radius is inside the small circle. The width is in the big circle. radius=r and width=w
The shaded region is the big circle.
I don't know if this helps at all, but I am hoping someone could help me!! This question is from textbook Algebra Structure and Method

Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
It seems the problem of finding area of shaded portion of circle in a circle.
Area of big circle =pi(w)^2/4
Area of small circle=pi(r)^2
Shaded area = Area of Big Circle - area of small circle
=pi(w/2)^2-(r)^2)
=pi(w/2 + r)(w/2 - r)
in a nut shell pi times product of sum and difference of radii
Answer:
Shaded Area =pi(w/2 + r)(w/2 - r)

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