SOLUTION: A circle has a chord of length 10 cm. This chord is the perpendicular bisector of a radius of that circle. What is the area of the circle in square centimeters?

Question 355100: A circle has a chord of length 10 cm. This chord is the perpendicular bisector of a radius of that circle. What is the area of the circle in square centimeters?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The given chord perpendicularly bisects a radius of the circle, so we can form a right triangle where one leg measures 5 cm, the other leg measures , and the hypotenuse measures r. Then by the Pythagorean Theorem,
,
,
,
.
Now the area of the circle is given by .
Substituting into this area formula, we get
square centimeters.

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