Question 1135288
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The problem is stated very poorly.<br>
The problem wants to know the diameter of a circle if a chord 36cm long is 8cm from the circle at its midpoint.<br>
Draw a sketch.  The radius of the circle that is perpendicular to the chord bisects the chord at right angles.<br>
Draw a radius to one end of the chord.<br>
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.<br>
Now you have a right triange with legs x and 16 and hypotenuse x+8.<br>
Use the Pythagorean Theorem to find x; then you can determine the diameter of the circle (log).