circle x squared plus y squared equal to 16
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Answer:
This is going to be the graph of a circle with the center at the origin and a radius of 4.
Explanation:
The formula for a circle is:
(x−xc)2+(y−yc)2=r2
The center of this circle will be located at the point (x_c, y_c).
You can expand your equation above to look like this:
(x−0)2+(y−0)2=16
From this equation, you know that the center of the circle will be located at (0;0).
Your radius can be found by using the equation as well. In your equation,
r2=16
∴√r2=√16⇒r=4.
This is going to be the graph of a circle with the center at the origin and a radius of 4.
Explanation:
The formula for a circle is:
(x−xc)2+(y−yc)2=r2
The center of this circle will be located at the point (x_c, y_c).
You can expand your equation above to look like this:
(x−0)2+(y−0)2=16
From this equation, you know that the center of the circle will be located at (0;0).
Your radius can be found by using the equation as well. In your equation,
r2=16
∴√r2=√16⇒r=4.
Answered by
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Radius is 4. Because general equation of circle having centre at origin is x²+y²=r²
The given eqn is x²+y²=4²
Hence, r=4
The given eqn is x²+y²=4²
Hence, r=4
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