A 64 cm wide path is made around a circular garden having a diameter of 10 meters. The area (in m2) of the path is closest to:
(Take π = 22/7)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 86.
Diameter = 10 m,
The radius, r = 10/2 = 5 m
Hence, taking the outer radius including the path,
R = 5 + 0.64 = 5.64 m
So area of path = π(R2 - r2)
⇒ π(R + r)(R - r)
⇒ 22/7(5.64 + 0.64)(5 - 0.64)
⇒ 22/7 × 6.28 × 4.36
⇒ 86.328 m2
⇒ 86 m2 (approx.)