A circular garden of radius is surrounded by a circular path of uniform width metres

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A circular garden of radius 10 m10\text{ m} is surrounded by a circular path of uniform width xx metres. The area of the path alone is 44π m244\pi\text{ m}^2. (a) Form an equation in xx using the given information and hence find the width of the path. (b) Find the outer circumference of the path. (c) The path is to be gravelled at Rs. 140 per square metre. Calculate the total cost of gravelling.

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