SOLUTION: the shortest distance from the centre of a circle to a chord is 5 cm. find teh radius (2d.p.) of the circle if the chord is 3*2 times longer than the radius.

Question 108743: the shortest distance from the centre of a circle to a chord is 5 cm. find teh radius (2d.p.) of the circle if the chord is 3*2 times longer than the radius.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I think the graph shows your problem.

You form a right triangle with sides 5 and (6+R)/2, and a hypotenuse of R.
Using the Pythagorean theorem,

Expand the square.
Multiply both sides by 4.
Group all terms on one side.

Use only positive root, negative radius does not make sense in this application.

Check your answer.

True statement.
Good answer.
R=9.02 cm.
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