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

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