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Difference between revisions of "2007 iTest Problems/Problem 16"

(Created page with "== Problem == How many lattice points lie within or on the border of the circle in the <math>xy</math>-plane defined by the equation <cmath>x^2+y^2=100</cmath> <math>\text{(A) }...")
(No difference)

Revision as of 22:26, 7 October 2014

Problem

How many lattice points lie within or on the border of the circle in the $xy$-plane defined by the equation \[x^2+y^2=100\]

$\text{(A) }1\qquad \text{(B) }2\qquad \text{(C) }4\qquad \text{(D) }5\qquad \text{(E) }41\qquad \text{(F) }42\qquad \text{(G) }69\qquad \text{(H) }76\qquad \text{(I) }130\qquad \\ \text{(J) }133\qquad \text{(K) }233\qquad \text{(L) }311\qquad \text{(M) }317\qquad \text{(N) }420\qquad \text{(O) }520\qquad \text{(P) }2007$

Solution

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