lisaac496
lisaac496 lisaac496
  • 08-07-2021
  • Mathematics
contestada

Find the radius of a circle with a diameter whose endpoints are (-7,1) and (1,3).​

Respuesta :

Mase07
Mase07 Mase07
  • 08-07-2021

Answer:

r = 4.1231055

Step-by-step explanation:

So to do this, you need to find the distance between the two points:

(-7,1) and (1,3).

To do this, the distance or diameter (d) is equal to:

d = sqrt ((x2-x1)^2 + (y2-y1)^2)

In this case:

d = sqrt( (1 - (-7))^2 + (3 - 1)^2 )

d = sqrt( 8^2 + 2^2)

d = sqrt( 64 + 4)

d = sqrt( 68 )

The radius is half of the diameter, so:

r = 1/2 * d

r = 1/2 * sqrt( 68 )

r~ 4.1231055

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