SOLUTION: Your backyard is a 36 ft. by 50 ft. rectangle. You plan to put a circular pool in your backyard. If you call the bottom left hand corner of the picture the origin, find the equatio
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Question 949063: Your backyard is a 36 ft. by 50 ft. rectangle. You plan to put a circular pool in your backyard. If you call the bottom left hand corner of the picture the origin, find the equation of the largest possible circular pool you could fit in your yard if you want to locate it as far to the right as possible and with enough room to put a 4 foot wide walkway all the way around the pool. Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! The largest diameter would be determined by the smallest dimension.
36 ft-8 ft for walk would leave a diameter of 28 ft. The center on the Y axis would be the center of the lawn (18 ft up). the center on the x axis would be
radius + 4 ft from the right side Or 14+4=18 ft from the right(50 ft)edge would put it at X=32 ft
So we have a circle with radius 14 ft and center (32 ft,18 ft) the equation is:
