Question

A man is walking in a circular park. In one round he completes 314 m. If there is a man at the opposite end of the diameter which is drawn from the point where the man is standing. Find the minimum distance he has to walk to meet his friend who is sitting at the described point? Also, find the area of the circular park. Take $\pi =3.14$ [3 MARKS]

Answer 1

Steps: 1 Mark
Shortest Distance: 1 Mark
Area: 1 Mark

If the man has to cover the minimum distance, he has to walk along the diameter.

Circumference of the circle = 314 m

Radius of the given circle = $\frac{314}{2\pi }$

= 50 m

Diameter = (2)$\times$(50) = 100 m
The radius of the circular park = $\frac{100}{2}$ = 50 m

The area of the circular park = $\pi \times r^2$

On substituting the values, we get
Area = $\pi \times {50}^2$ = $7850m^2$