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10 POINTS!!
The Colosseum in Rome was the largest amphitheater built in the Roman Empire. The interior of the Colosseum is a perfect circle. The roof of this enormous amphitheater was about 600 feet in diameter. If the center of the Colosseum is assumed to be at origin, then write an equation for the circle that represents the roof of the Colosseum. (JUSTIFY)

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Show your work.

Respuesta :

itsmezarah

we know that,

the roof the colosseum=

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center and r is the radius

now,

(h.k)=(0,0)---(orgin)

we know that radius is half the diameter

so,

r=600/2=300

now substitute the value,

(X-0)^2+(y-0)^2=300^2

x^2+y^2=90,000

hope it helps you

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