SOLUTION: A 36 cm cut is made in a circular log 8 cm from the edge of the log. What is the diameter of the log?

Question 1135288: A 36 cm cut is made in a circular log 8 cm from the edge of the log. What is the diameter of the log?
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Could be any diameter.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The problem is stated very poorly.

The problem wants to know the diameter of a circle if a chord 36cm long is 8cm from the circle at its midpoint.

Draw a sketch. The radius of the circle that is perpendicular to the chord bisects the chord at right angles.

Draw a radius to one end of the chord.

Let x be the distance from the center of the circle to the midpoint of the chord. Then, since the midpoint of the chord is 8cm from the circle, the radius of the circle is x+8.

Now you have a right triange with legs x and 16 and hypotenuse x+8.

Use the Pythagorean Theorem to find x; then you can determine the diameter of the circle (log).
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