SOLUTION: A chord of a circle is 24cm long.If the chord is 5cm from th centre of the circle,calculate the radius of the circle.

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Question 970174: A chord of a circle is 24cm long.If the chord is 5cm from th centre of the circle,calculate the radius of the circle.
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A chord of a circle is 24cm long.If the chord is 5cm from the centre of the circle,calculate the radius of the circle.
:
draw this out so the 5 cm line from the center to chord, bisects the cord' each half is 12 cm.
:
A right triangle is formed with legs of 5 cm and 12 cm, the radius is the hypotenuse when drawn from the center to the end of the chord
therefore using our old friend a^2 + b^2 = c^2:
r = sqrt%285%5E2+%2B+12%5E2%29
r = 13 cm if the radius

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a line from the center of the circle to
the center of the chord
A right triangle is formed by:
(a) The line from the center of the circle
(b) 1/2 of the chord
(c) The radius ( hypotenuse )
---------------------------
The legs are: +5+ and +24%2F2+=+12+
Let +r+ = radius
+r%5E2+=+5%5E2+%2B+12%5E2+
+r%5E2+=+25+%2B+144+
+r%5E2+=+169+
+r+=+13+
The radius is 13 cm