A chord is 16 units from the center of a circle. The radius of the circle is 20 units. What is the length of the chord?

How is the measure of a central angle and the corresponding chord related to the measure of the arc intercepted by the chord?

Length of the chord: 24 units

Angles are equal

Step-by-step explanation:

Drop a Perpendicular from the centre onto the chord. It will divide the chord into two equal parts, d units each

d² + 16² = r²

d² = 20² - 16²

d² = 144

d = 12

Chord = 2d = 24 units

Measure of central angle and the corresponding chord related to the measure of the arc intercepted by the chord are the same, they're equal

The entire chord length is 12*2 = 24

The degree measure of a minor arc is equal to the measure of the central angle that intercepts it.

Step-by-step explanation:

We can make a right triangle to solve for 1/2 of the chord length.  The hypotenuse is 20 and one of the legs is 16

a^2+b^2 = c^2

16^2 + b^2 = 20^2

256 +b^2 = 400

Subtract 256 from each side

b^2 = 400-256

b^2 =144

Take the square root of each side

b = 12

That means 1/2 of the chord length is 12

The entire chord length is 12*2 = 24