Two chords

Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center.

Correct answer:

a =  16 cm
b =  8 cm

Step-by-step explanation:

h1=4 cm h2=8 cm  r2 = h12 + h22  r=h12+h22=42+82=4 5 cm8.9443 cm  D=2 r=2 8.9443=8 5 cm17.8885 cm  a<D, b<D  r2 = h12 + (a/2)2  a=2 r2h12=2 8.9443242=16 cm
r2 = h22 + (b/2)2  b=2 r2h22=2 8.9443282=8 cm

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
Math student
What is the length of base BC   -8, -6   6, -6

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: