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First find the area of the circle piece of metal; then find the area of the hole; finally subtracted the area of the hole from the area of the circle piece of metal area, you will get the answer.
All right.
The area of the piece of circle metal is (x+5)^2pie; the area of the hole is (x+1)^2pie. So (x+5)^2pie-(x+1)^2pie =(x^2+25+10x)pie-(x^2+1+2x)pie =pie(x^2+25+10x-x^2-1-2x) =pie(24+8x) =8piex+24pie The first answer choice is right.
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First, pie(9x^2 + 48 + 64)/pie to get r^2. 6x^2+48+64 is r^2 6x^2+48+64 =6x^2+112 Now can you find the answer?
How do you get it?
\[\sqrt{6x^2+112}\]is the answer.
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