Question

A chord 4x cm long is X - 1 cm away from the centre of the circle whose radius is 2 x + 1 cm long find the radius and the length of the chord.​

Answer 1

Answer:

radius = 13

chord length = 24

Step-by-step explanation:

applying Pythagoras theorem

base = 2x ( half of chord length)

height = x -1

hypotenuse = radius = 2x + 1

(2x + 1 ) ^2 = (2x)^2 + (x-1) ^2

=> 4x^2 + 4x + 1 = 4x^2 + x^2 -2x + 1

=> x^2 -6x = 0

=> x = 0 or 6

radius = 13

chord length = 24