A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m?) of the path is closest to: $(take \pi= \frac{22}{7})$
Answer & explanation
Correct answer: option 1
We know that,
Area of path = Outer area - Inner area
Length of circular path = 64cm
Diameter of garden = 10m = 1000 cm
Then the radius of garden = 500 cm = Inner radius
Outer radius = 564 cm
Now, according to the question,
= \(\frac{22}{7}\) × (5642 - 5002)
= \(\frac{22}{7}\) × (564 + 500)(564 - 500)
= \(\frac{22}{7}\) × (1064)(64) = 21.4016 m2