The diameter of a circle is 25 cm and a chord of the same circle is 16 cm. To the nearest tenth, what is the distance from the midpoint of the chord to the center of the circle?
A) 9.0 cm
b) 9.6 cm
c) 18.0 cm
d )19.2 cm

Question

jim_thompson5910 · Answer

Draw any circle
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jim_thompson5910 · Answer

the diameter is 25 cm

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jim_thompson5910 · Answer

the radius is 25/2 = 12.5 cm

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jim_thompson5910 · Answer

we have a chord that is 16 cm long
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jim_thompson5910 · Answer

cut this in half to get 16/2 = 8 cm

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the goal is to find the value of x

jim_thompson5910 · Answer

we have this right triangle

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use the pythagorean theorem to solve for x

ellamoyseyuk · Answer

b)9.60