Question

The circumference of a given circular park is $55$ m. It is surrounded by a path of uniform width $3.5$ m. Find the area of the path.

• A. $20.02m^2$
• B. $20.32m^2$
• C. $30.02m^2$
• D. None of these

Answer 1

Answer: (A)

$20.02m^2$

Let the radius of the circular park be $r$

Therefore,

$2\pi r=55$

$=>r=\frac{55\times 7}{2\times 22}$

$=>r=8.75$

Area of the circular park $=\frac{22}{7}(8.75{)}^2$

$=240.63m^2$

Width of the park $=0.35m$

Area of the circular park with the uniform path$=\pi (r+0.35{)}^2$

$=\frac{22}{7}(8.75+0.35{)}^2$

$=260.65m^2$

Area of the uniform path $=(260.65-240.63)m^2$

$=20.02m^2$