Question

Prove that the area of a circular path of uniform width h surrounding a circular region of radius is πh(2r+h).

Answer 1

HEY MATE YOUR ANSWER IS

that width of the circular path = h Let the radius of inner circle= r Then radius of outer circle = (r + h) Area of inner circle = πr2 Area of outer circle = π(r + h)2 Area of circular path = Area of outer circle – Area of inner circle

= π(r + h)2 – pr2 = π[(r + h)2 – r2] = π[((r + h) + r)((r + h) – r)] (∵ a2 – b2 = (a + b)(a - b)

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