wfox69
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Snoopy the dog is on a 11-ft long chain that is attached to the corner of a garage (see the picture below). If the chain does not allow him to go past either of the adjacent sides of the garage, how much space does Snoopy have to roam?

Use \pi π = 3.14 and round your answer to the nearest tenth.

Respuesta :

AJGreen
11*2 = 22 (calculating the diameter)

Using πD for the area:
π * 22 = 22π

Getting 3/4 of the area because the dog can not move past the corners of the garage;

22π * 3/4 = 16.5π

Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2

Hope this helps! :)

The amount of space that the dog snoopy has to roam is;

284.955 ft²

The image of snoopy wearing a long chain attached to the corner of the garage is missing and so i have attached it.

  • From the attached image, we see that snoopy is at the edge of a circle with the garage taking up a quarter of that circle.

  • Since the maximum length of the chain is 11 ft from the center, it means the radius of the circle is 11ft.

Area of circle is given by the formula;

A = πr²

A = 3.14 × 11²

A = 379.94 ft²

Now, because the garage takes up a quarter of the circle space and the chain doesn't allow snoopy go past the adjacent sides of the garage, it means that snoopy can only cover 3/4 of the area of the circle.

Thus, space that snoopy can roam/cover = 3/4 × 379.94 = 284.955 ft²

Read more at; https://brainly.com/question/13004107

Ver imagen AFOKE88