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

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: