Question

Two parrelel chords 16 centimeters and 30 centimeters long are 23 centimeters apart. find the length of the radius of the circle.

Answer 1

r^2 = 529 - 46x + x^2 + 64
r^2 = x^2 - 46x + 593
replace r^2 with (x^2+ 225)
x^2 + 225 = x^2 - 46x + 593
x^2 - x^2 + 46x = 593 - 225
46x = 368
x = 368/46
x = 8 cm
Find the radius
r^2 = 8^2 + 225
r^2 = 289
r =

r = 17 cm is the radius