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PSAT/NMSQT
PSAT Math Test - Calculator Section

Width of Path Surrounding Circular Garden

Hard Additional Topics In Math Geometry

A circular garden has a radius of 10 meters. A path of uniform width surrounds the garden. If the total area of the garden and the path is 500 square meters, what is the width of the path?

Use the area formula for the circle: $$A = \pi r^2$$, where $$r$$ is the radius of the circle.

Hint

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