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3 years ago

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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?

1 answer:

Sphinxa [80]3 years ago

8 0

ANSWER

The radius is 25 inches

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,

$r = \sqrt{625}$

$r = 25$

Hence the radius is 25 inches

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