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Inment:Equations of Circles ns for each section. SHOW ALL WORK OR NO CREDITI rcle given the following information. i d) Center:(4,5) Radius=14 e) Center: (0,0) Diameter=8

Problemas

Inment:Equations
of Circles
ns for each section. SHOW ALL WORK OR NO CREDITI
rcle given the following information.
i d) Center:(4,5)
Radius=14
e) Center: (0,0)
Diameter=8

Inment:Equations of Circles ns for each section. SHOW ALL WORK OR NO CREDITI rcle given the following information. i d) Center:(4,5) Radius=14 e) Center: (0,0) Diameter=8

Solución

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Susanaprofessionell · Tutor durante 6 años
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Responder

1. $(x-4)^2 + (y-5)^2 = 196$<br />2. $x^2 + y^2 = 16$

Explicar

1. The equation of a circle in standard form is given by $(x-h)^2 + (y-k)^2 = r^2$, where (h,k) is the center of the circle and r is the radius.<br />2. For the circle with center (4,5) and radius 14, we substitute h=4, k=5, and r=14 into the standard form equation to get $(x-4)^2 + (y-5)^2 = 14^2$.<br />3. For the circle with center (0,0) and diameter 8, we first find the radius by dividing the diameter by 2, which gives r=4. We then substitute h=0, k=0, and r=4 into the standard form equation to get $x^2 + y^2 = 4^2$.
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