SOLUTION: If a chord 10 inches long is 5 inches from the center of a circle, what is the radius of the circle(sqaure root answer)? In a circle with a 12-inch radius, what is the length of

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Question 272729: If a chord 10 inches long is 5 inches from the center of a circle, what is the radius of the circle(sqaure root answer)?
In a circle with a 12-inch radius, what is the length of a segment joining the midpoint of a 20-inch chord and the center of the circle(square rootanswer)?
What is the radius of a circle in which an inscribed square has a side of 8 inches(square root answer)

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
All these can be solved using pytha: or
c =
or
a =
:

If a chord 10 inches long is 5 inches from the center of a circle,
what is the radius of the circle(square root answer)?
:
A line from the center to the chord, bisects the chord, therefore you have a
right triangle, two sides = 5", the hypotenuse = the radius
r =
r =
Factor to reveal a perfect square
r =
r =
:
:
In a circle with a 12-inch radius, what is the length of a segment joining the
midpoint of a 20-inch chord and the center of the circle(square rootanswer)?
:
A right triangle is formed by half the chord (10) and the hypotenuse, r (12)
and the segment (s)
s =
s =
s =
Factor to reveal a perfect square
r =
r =
:
:
What is the radius of a circle in which an inscribed square has a side of 8 inches (square root answer)
:
The diameter of the circle will = to the diagonal of the square
r =
r =
r =
r =
r =

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