Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordina
te plane so that the rectangle has vertices (0,0),(0,60),(30,60) , and (30,0) .
A circular flower garden is dug to be exactly in the center of the backyard, with a radius of 60 feet. This garden is represented on the blueprint.
What is the equation of the flower garden represented on the blueprint? Enter your answer by filling in the boxes.
A circular flower garden is dug to be exactly in the center of the backyard, with a radius of 60 feet. This garden is represented on the blueprint.
What is the equation of the flower garden represented on the blueprint? Enter your answer by filling in the boxes.
1 answer:
Answer:
Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to
where
(h,k) is the center
r is the radius
we have
substitute
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the 4 is called an index and it means to fi d the fourth root of the expression under the (
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there really isn't anything else to do to simplify the expression