Question

A Horse is tied with rope in the center of grassland to graze. The length of rope is 5m. The diameter of circular garden is 50m. Find the area in which the horse cannot graze.

Answer 1

Area of a circle is πr².  (The formula is easy to recall if you just remember the joke--πr²--no, pie are round!)

So we must calculate the difference of the areas to determine what the horse cannot reach.

As we are given the garden's diameter, we must divide it in half to get its radius.  The rope, of course, already represent a radius.

π25² - π5² = π(25² - 5²) = π(625 - 25) = π600
= 1885 square meters.