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myrzilka [38]
3 years ago
13

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?

Mathematics
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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