Question

A circle with radius x is shown below. The diagram is not drawn to scale.

Answer 1

`11 .6`

Step-by-step explanation

x is the radius of the circle.

It is equal to the hypotenuse of the right triangle created by connecting the center and the end of the chord with a straight line.

`{x}^(2) = {5}^(2) + {( (21)/(2) )}^(2)`

`{x}^(2) = 25 + 110.25`

`{x}^(2) = 135.25`

`x = √(135.25)`

`x = 11.6`