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Posted by **noah** on Tuesday, February 7, 2012 at 3:34am.

- college physics -
**drwls**, Tuesday, February 7, 2012 at 5:13amArea A = 4 pi R^2

lnA = ln(4 pi) + 2 ln R

dA/A = 2 dR/R = 2*(alpha)*dT

delta A = 2A*alpha*(delta T)

OR

A at T + deltaT

delta A = 4 pi (R + deltaR)^2 - A

= 4 pi R(1 + alpha*deltaT)^2 -A

= 4 pi R^2 *[1 + 2*alpha*deltaT +

(alpha*deltaT)^2] - A

= 2*A*alpha*deltaT + A*(alpha*deltaT)^2

(Ignore the second term in deltaT^2)

- college physic -
**noah**, Tuesday, February 7, 2012 at 6:49amTQ^^

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