A goat is tied at one corner of a rectangular field 30 m by 20 m with a rope 14 m long. What area of the field can the goat NOT graze? Take $\pi = \frac{22}{7}$.

Explanation

1. 01

   At a corner the rope sweeps a quarter circle, because the corner angle is 90°.

2. 02

   Grazed area = $\frac{1}{4} \times \frac{22}{7} \times 14 \times 14 = 154$ m².

3. 03

   Not grazed = $600 - 154 = 446$ m².