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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?

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ANSWER

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

A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the-example-1
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