Question

cm wide path is to be made around
a circular garden having a diameter of 4
meters. Find the approximate area of the
path in square meters.

​

Answer 1

Answer:

• Area of path made = 3.34 m²

Explanation:

• Width of the path to be made around the circular garden = 25 cm = (25/100) m = 0.25 m
• The Diameter of the Circular garden, d = 4 m

• We need to find the approximate area of the Path in square metres.

So,

• Since the diameter of Circular garden is = 4 m
• therefore, the radius of Circular garden, r = 2 m

Hence,

• → Area of circular ground will be, A₁ = π r²
• → A₁ = π ( 2 )² = 4 π  m²

Now,

• When path of width 0.25 m will be made,
• then new radius of Circular garden will be, R = 2 + 0.25 m = 2.25 m

Hence,

• → Area of circular garden along with path, A₂ = π R²
• → A₂ = π (2.25)² = 5.0625 π  m²

So,

• → Area of path = A₂ - A₁
• → Area of path = (5.0625 π) - ( 4 π )
• → Area of path = 1.0625  π
• → Area of path = 1.0625  ×  22/7
• → Area of path = 3.34  m²    [Approx.]

Therefore,

• Area of path made around the circular garden would be 3.34 m² approximately.