Question

When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?

A a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

B a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft

C semicircles of radii 18 ft, 10 ft, and 6 ft

D semicircles of radii 18 ft, 12 ft, and 8 ft

Answer 1

a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

Explanation:

i took the test and i got this as the right answer

Answer 2

A a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

Explanation:

In order to calculate this, you have to remember that you have a tether that is 18 ft long, thetered to a point, this would make a circle with a radius of 18 ft, but as the center of the circle would be where the theter is knotted, the shed forbids to make a full circle, it rather creates a 3/4 circle, and the dog can acces the other points of the shed, with le length of the theter, that is 8 ft after the long side, and 12 feet after the short side, creating another quarter circle with a radius of 8 and 12 ft.