Question 970174
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(5^2 + 12^2)}}}
r = 13 cm if the radius