A dog is leashed to the corner of a house with an 18 foot leash. How much running area does the dog have?

2 answers:

8 0

If the dog were on a 15-ft leash tied to a stake in the ground
out in the middle of a field, then he could cover every blade
of grass in a 15-ft circle. The area of a circle is (pi R²), so
he would have free range over (pi · 15²) square feet of area.

Sadly, he's not out in the middle of a field. He's tied to the corner
of the house. So he can't cover the whole circle, because the house
blocks a quarter of the circle. The dog only has access to

   (3/4) of (pi R²)

   = (0.75) · π · (15²)

   = (0.75 · π · 225) =  <span>530 square feet  </span>(rounded)

Natasha_Volkova [10]3 years ago

5 0

Find the area of 32 then you get it :)

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