Answered

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WILL AWARD BRAINLIEST!

The diameter of a circle is 20 cm. Two chords parallel to the
diameter are 6 cm and 16 cm long. What are the possible
distances between the chords to the nearest tenth of a
centimeter? Explain.

Sagot :

MrRoyal

The possible distance between the parallel chords whose lengths are 6 cm and 16 cm is 15.5 cm

How to determine the length between the two chords?

The diameter of the circle is given as:

D = 20cm


Calculate the radius (r)

r = 10 cm

For the chord of length 6 cm;

The distance of chord from the center of the circle is:

[tex]d = \sqrt{10^2 - (6/2)^2}[/tex]

Evaluate

d = 9.5

For the chord of length 16 cm;

The distance of chord from the center of the circle is:

[tex]D = \sqrt{10^2 - (16/2)^2}[/tex]

Evaluate

D = 6

The sum of both distances is the possible distance between both chords.

Distance = 9.5 + 6

Distance = 15.5

Hence, the possible distances between the chord is 15.5 cm

Read more about chords and circles at:

https://brainly.com/question/13950364

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