A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m2) of the path?
Answer & explanation
Correct answer: option 3
We know that,
Area of circle = πr2
Area of path = π(R2 – r2)
Diameter = 210
Then the radius of park (r) = 105
Combine radius (R) = 105 + 5 = 110
= π (1102 – 1052)
= π(110 + 105) (110 – 105) = 215 × 5 × π = 1075 π