A horse trots in a circle around its trainer at the end of a 22-foot-long rope. Find the area of the circle that is swept out. Round to the nearest square foot.

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Step-by-step explanation:

The horse trots in a circle around its trainer at the end of a 22-foot-long rope. This means that the radius of the circle is 22 feet.

The formula for determining the area of a circle is expressed as

Area = πr²

Where r represents the radius of the circle.

π is a constant whose value 3.14

Therefore,

Area = 3.14 * 22² = 1519.76

Rounding to the nearest foot, the area of the circle is

1520 feet²

The area that is swept out by the horse is 69 feet square.

Step-by-step explanation:

The distance between the horse and the trainer is the radius of the circle form.

Therefore radius = 22 feet

π = 22/7 (a constants)

Area of a circle = πr^2

Area that is swept out = 22/7 * 22 * 22

Area = 69.1429