luanakopsell
luanakopsell luanakopsell
  • 10-03-2022
  • Mathematics
contestada

find the length of the diameter of circle 0

find the length of the diameter of circle 0 class=

Respuesta :

jcarter8050 jcarter8050
  • 10-03-2022

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

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