book Maths Puzzle Numerical Ability

Please do you have a simple formula for finding the centre of a 2 dimensinal circle if I know 3 points on this circle?

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book Other Question

Kathy had a party. Everyone at the party shook hands with everyone else.
How many people were at the party if there 78 handshakes?
a line passes through a(1,-3) and b(2,7)
write the equation of a line perpendicular to a. how would you go about solving this problem?