Mark Y.
asked • 02/04/23In a circle with center O, chord AB has length 10. The perpendicular distance from O to AB is 12. What is the diameter of the circle?
In a circle with center O, chord AB has length 10. The perpendicular distance from O to AB is
12. What is the diameter of the circle?
More
1 Expert Answer
A line from the center of a circle that is perpendicular to a chord will bisect the chord, so it cuts AB into two 5 unit segments.
Next draw in a line segment connecting O to point A. You now have a right triangle with sides 5 and 12. The hypotenuse, OA, is the radius of the circle. Use the Pythagorean Theorem to find the length of OA. The diameter is twice the radius.
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Mark M.
Did you draw and label a diagram?02/04/23