Haileigh J.

asked • 03/25/15# Area of a circle

*Sometimes Mac takes his labrador with him to work at his autobody shop he hooks aces card to a 60 foot chain mounted on the corner of the shop which is a 40 x 80' rectangular building east enjoys going to work with Matt he gets to explore a lot more territory that he does in the family's backyard what is the area of the region ace can enjoy at the shop*

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## 1 Expert Answer

The dog is tethered with a 60' chain at the corner of a rectangular building 40'x80'

From that point, the dog can enjoy an area equal to 3/4 of a circle with a radius of 60'

Since the Area of a circle = π r

^{2}, then 3.14 x 60'^{2}x 3/4 = 8,480f^{2}However, the 60' chain extends 20' beyond the edge of the building, so the dog can enjoy an additional area which is 1/4 of a circle with a radius of 20'

Since the Area of a circle = π r

^{2}, then 3.14 x 20'^{2}x 1/4 = 314f^{2}So, the total area will be 8,794f

^{2}## Still looking for help? Get the right answer, fast.

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Nathan B.

03/25/15