A circular grass plot of radius is surrounded by a path of uniform width such that…
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A circular grass plot of radius 15m is surrounded by a path of uniform width such that the area of the path is exactly half the area of the grass plot. (Take π=722.)
(a) Part 1: (i) Form an equation in terms of the unknown width x of the path.
(b) Part 2: (ii) Solve the equation to find the width of the path, correct to one decimal place.
(c) Part 3: (iii) Calculate the total area of the path in square metres and express your answer also in hectares (1 hectare = 10000m2).