Questions on Algebra: Proportions answered by real tutors!

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Question 154877: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches.
Use p = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate? (b) If the cost to construct the plate is $7.50 per square inch, what is the construction cost?
Can you please explain this to me with an algebraic example? Thank you.
: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches.
Use p = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate? (b) If the cost to construct the plate is $7.50 per square inch, what is the construction cost?
Can you please explain this to me with an algebraic example? Thank you.

Answer by jojo14344(900) About Me  (Show Source):
You can put this solution on YOUR website!
a) get the Area of the Outer Radius=R + Inner radius=r
Remember: A=pi(R^2)+pi(r^2)=pi(R^2+r^2)
So, A=pi(10^2+3^2)=pi(100+9)
A=109pi(in^2)=342.4336in^2
b)Rate=Price/area*Area
(7.50/cross(in^2))*(342.4336cross(in^2))
$2568.252 ---------------------> cost to make it
Thank you,
Jojo