Question

If the blue radius below is perpendicular to the green chord and the segment

AB is 8.5 units long, what is the length of the chord?
A
A. 8.5 units
8.5
B
O B. 17 units
O C. 34 units
O D. 4.25 units

Answer 1

The answer is 17 units :D

Explanation:

Answer 2

O B. 17 units

Explanation:

The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:

`AB=(AC)/(2)\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units`

The length of the chord is 17 units.