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## Homework Statement

## Homework Equations

[/B]

Surface area of sphere = 4*Pi*r^2, where r: is the radius of the sphere circle

## The Attempt at a Solution

__Solution:__[/B]

**1.**

__In terms of “r” and “R”, and the radius of sphere “S”, and “d”:__

__Given that:__·

**Surface area of both shaded area are equal: That means,**

**The area bounded by P, A (outside Q) = the area bounded by N&M, A (N&M), while,**

**The area bounded by P = the area outside Q, A (outside Q), then**

**A (outside Q) = A (N&M)**

**And for the surface area bounded by N&P “A (N&P) “**

**A (N&P) = the whole area of the sphere S “A (S) “–[A (outside Q) + A (inside Q) + A (N&M)],**

**And for, A (N&M) = A (outside Q), then,**

**A (N&P) = A (S) – [2*A (outside Q) + A (inside Q)]**

**Knowing that the surface area formula of sphere “A sphere” = 4*Pi*r^2**

**Where Pi = 3.143, and r: the radius of the sphere circle**

·

**given that the radius of the sphere is “S”, then,**

Ø

**A (S) = 4*Pi*S^2**

·

**given that the radius of the sphere Q is “r”, then**

Ø

**A (inside Q) = 4*Pi*r^2.**

**A (outside Q) =**

Dear Sirs here,

As you see its a problem of getting the surface area of irregular shape which you had seen in the previous image,

Expecting that you took a look at my attempt solving the problem, and understood how i prepared the equation to get the bounded surface area between curves N&M, having those small red curves with the available given data,

what i need the help for, is that the area outside the sphere Q which is limited by the curve P, " i used symbol for it of A (outside Q)" and those red small curves, is how i get the equation which calculates that area win terms of "r", "S", "d" and "R"?, or any of these parameters, and then later i optimize the equation to be in terms of those parameters

Looking forward to hear from you, and will appreciate your help, i have been using physics forums for many years ago, and putting a big hope in here to get the help

Thanks

Dear Sirs here,

As you see its a problem of getting the surface area of irregular shape which you had seen in the previous image,

Expecting that you took a look at my attempt solving the problem, and understood how i prepared the equation to get the bounded surface area between curves N&M, having those small red curves with the available given data,

what i need the help for, is that the area outside the sphere Q which is limited by the curve P, " i used symbol for it of A (outside Q)" and those red small curves, is how i get the equation which calculates that area win terms of "r", "S", "d" and "R"?, or any of these parameters, and then later i optimize the equation to be in terms of those parameters

Looking forward to hear from you, and will appreciate your help, i have been using physics forums for many years ago, and putting a big hope in here to get the help

Thanks