What's the difference with "centre" and "center"?
They have the same pronunciation and the similar meaning. I don't know how to use them. Who can explain them to me? Thank you very much.

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Centre is the British English spelling.
Center is American.

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There's no differences between them."Center" used in US english and it is the var of "centre".

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Thank you for your explain with details, Brenda. I got it.

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Hi Jane
Here is how I use the two words 
"Center" would be a synonym for "middle". (He stood in the center of the circle.)

"Centre" would be the word used to describe a gathering place. (The crowd gathered at the new Arts and Innovation Centre.)
Brenda