iwanttogotostanford
  • iwanttogotostanford
a chord 24 inches long is 5 inches from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of an inch? (DIAGRAM DRAWN BELOW)
Mathematics
katieb
  • katieb
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iwanttogotostanford
  • iwanttogotostanford
|dw:1444182665406:dw|
iwanttogotostanford
  • iwanttogotostanford
zepdrix
  • zepdrix
I assume they mean 5 inches perpendicular to the center or something like that. We need to know that those lines form a right angle. Anyway, this is just a simple application of the `Pythagorean Theorem` :)

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zepdrix
  • zepdrix
|dw:1444182853766:dw|If the chord is length 24, what is this missing side length of the triangle?
iwanttogotostanford
  • iwanttogotostanford
we have to use the pythagorean theorem to find out
zepdrix
  • zepdrix
No.
zepdrix
  • zepdrix
It has something to do with the 24.
iwanttogotostanford
  • iwanttogotostanford
oh, half of that
iwanttogotostanford
  • iwanttogotostanford
so it would be 12 right?
zepdrix
  • zepdrix
|dw:1444182954940:dw|good good good :) So NOW you can apply your Pythagorean Theorem to find the radius value.
iwanttogotostanford
  • iwanttogotostanford
ok, so v^2=12^2+5^2
zepdrix
  • zepdrix
I'm not sure why you're using v lol but yes the set up looks correct!

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