Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2016 AMC 10B Problems/Problem 21

Revision as of 09:28, 21 February 2016 by Mathlogin (talk | contribs) (Created page with "==Problem== What is the area of the region enclosed by the graph of the equation <math>x^2+y^2=|x|+|y|?</math> <math>(A) \pi+\sqrt{2} (B) \pi+2 (C) \pi+2\sqrt{2} (D) 2\pi+\s...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

What is the area of the region enclosed by the graph of the equation $x^2+y^2=|x|+|y|?$

$(A) \pi+\sqrt{2} (B) \pi+2 (C) \pi+2\sqrt{2} (D) 2\pi+\sqrt{2} (E) 2\pi+2\sqrt{2}$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2016_AMC_10B_Problems/Problem_21&oldid=76537"