Question

different animals have different fields of view. humans can generally see a 180° arc in front of them. horses can see 215° arc. dogs can see a 240° arc. a dog, horse, and rider are in heavy fog , so they can see only 25 yards in any direction. what is the area of the riders field of view?

Answer 1

Answer:

The area of the riders field of view is 987.5 square yards.

Step-by-step explanation:

The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.

The semi-circle of 25 yards of radius has an area of:

$S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5$

The area of the riders field of view is 987.5 square yards.