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NotSoSmart  Mar 22, 2018
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+1

x^2 + y^2  =  5625

 

This is a circle centered st the origin with a radius of 75  (miles)

 

a)  To find the x intercepts, let y  = 0  and we have

 

x^2  =  5625       take both roots

x  = +75     and x  = -75

So....the x intercepts are   (-75, 0) and (75, 0)

 

To find the y intercepts, let x  = 0   and we have

 

y^2  = 5625   take both roots

y  = +75   and y  = -75

So.....the y intercepts  are  (0, 75)  and (0, - 75) 

 

b)  In the form x^2 + y^2  = r^2

 

The radius   =  sqrt (r^2)  = sqrt (5625)  =  75

 

c)  =  The area  is  the area of a circle with a radius of 75....so we have

 

Area  = pi * r^2   =   pi (5625)   ≈  17671.45  sq miles

 

 

cool cool cool

CPhill  Mar 22, 2018

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