Question

A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of the clock to the nearest whole number?

Answer 1

The radius is 25 inches

Step-by-step explanation

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

`{r}^(2) = {7}^(2) + {24}^(2)`

`r^(2) = 49 + 576`

Simplify

`r^(2) = 625`

Take positive square root,

`r = √(625)`

`r = 25`

Hence the radius is 25 inches