Question

question 8 of 10 what is the length of chord cd in ⊙o below? a. 8.31 units b. 4.01 units c. 8.02 units d. 16.04 units

Explanation:

Step1: Recall chord - perpendicular bisector property

A perpendicular from the center of a circle to a chord bisects the chord. Let the chord be \(AB\) and the perpendicular from \(O\) to \(AB\) bisects \(AB\). If the length of the half - chord is \(l = 8.02\) units.

Step2: Calculate the length of the chord \(CD\)

Since the perpendicular from the center to chord \(CD\) also bisects \(CD\), and the length of the half - chord is 8.02 units. The length of the chord \(CD=2\times8.02 = 16.04\) units.

Answer:

D. 16.04 units