All ACT Math Resources
Example Question #1 : How To Find The Length Of A Chord
In the figure below, and are radii of the circle. If the radius of the circle is 8 units, how long, in units, is chord ?
The radii and the chord form right triangle . Use the Pythagorean Theorem to find the length of .
Example Question #2 : How To Find The Length Of A Chord
The radius of the above circle is . is the center of the circle. Find the length of chord .
The radii of the circle and chord form a right triangle with as the hypotenuse. We can use the Pythagorean Theorem to find .
Example Question #3 : Chords
A circle has a maximum chord length of inches. What is its radius in inches?
Keep in mind that the largest possible chord of a circle is its diameter.
This means that the diameter of the circle is inches, which means an -inch radius.
Remember that ,