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) (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 =
r = 13 cm if the radius
Answer by josmiceli(19441) (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: and
Let = radius
The radius is 13 cm
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