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The center of a circle is at the origin. and endpoint of a diameter of the circle is at (-3, -4. how long is the diameter of the circle

Respuesta :

bfelson
The diameter is 10:

To do this we must use the distance formula:

Distance =√(x2−x1)^2+(y2−y1)^2

So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)

D=✓(-4-0)^2+(-3-0)^2

Simplified, this is

D=✓16+9
D=✓25
D=5

so, the distance from the center of the crcle to the endpoint is 5 (making the radius)

multiply by two, and the diameter of the circle is 10 :)
kaedalou

Answer:

The diameter is 10:

Step-by-step explanation:

To do this we must use the distance formula:

Distance =√(x2−x1)^2+(y2−y1)^2

So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)

D=✓(-4-0)^2+(-3-0)^2

Simplified, this is

D=✓16+9

D=✓25

D=5

so, the distance from the center of the crcle to the endpoint is 5 (making the radius)

multiply by two, and the diameter of the circle is 10 :)

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