Ella’s dog Miley loves to play outside. Ella’s 12 ft leash is tied to a stake in the ground. If she walks around in a circle, how far did she walk?

74.5

144.5

75.4 ft

72.3 ft

Respuesta :

75.4 will be the answer..
as perimeter will be 2*pie*R

hope it helped

Answer:

C. 75.4 ft

Step-by-step explanation:

We have been given that Ella’s dog Miley loves to play outside. Ella’s 12 ft leash is tied to a stake in the ground.

The leash will be radius of the circle and the distance covered by the dog will be equal to circumference of circle.

[tex]\text{Circumference}=2\pi r[/tex]

[tex]\text{Circumference}=2\pi*12\text{ ft}[/tex]

[tex]\text{Circumference}=24\pi\text{ ft}[/tex]

[tex]\text{Circumference}=24*3.14\text{ ft}[/tex]

[tex]\text{Circumference}=75.36\text{ ft}[/tex]

[tex]\text{Circumference}\approx 75.4\text{ ft}[/tex]

Therefore, the distance traveled would be 75.4 feet.