Day 11: Escape the Field

Calculus Level 5

I am stuck in the centre of a square field of side-length 2km. I randomly pick a bearing on my compass then walk in that direction until I reach the edge of the field.

In metres, find the expected distance that I travel and round your answer to the nearest metre.

This problem is part of the set Advent Calendar 2014.

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100 Day Summer Challenge

Day 11: Escape the Field

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Courses

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100 Day Summer Challenge

Day 11: Escape the Field

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.