Two parallel chord of length 30 and 16 cm are drawn on the oppoite ide of the centre of the circle of radiu 17 cm. Find the ditance between the chord

Answers

Answer 1

the distance between the chord is 23 cm

It is given that AB = 30cm and CD = 16cm

Join the lines OA and OC

We know that AO = 17cm and CO = 17cm

Construct OM ⊥ CD and OL ⊥ AB

The perpendicular from the centre of a circle to a chord bisects the chord

We know that

AL = ½ × AB

By substituting the values

AL = ½ × 30

So we get

AL = 15cm

We know that

CM = ½ × CD

By substituting the values

CM = ½ × 16

So we get

CM = 8cm

Consider △ ALO

Using the Pythagoras theorem it can be written as

AO^2 = OL^2 + AL^2

By substituting the values

17^2 = OL^2 + 15^2

So we get

OL^2 = 17^2 - 15^2

On further calculation

OL^2 = 289 – 225

By subtraction

OL^2 = 64

By taking the square root

OL = √64

OL = 8cm

Consider △ CMO

Using the Pythagoras theorem it can be written as

CO^2 = CM^2 + OM^2

By substituting the values

17^2 = 82 + OM^2

So we get

OM^2 = 17^2 - 8^2

On further calculation

OM^2 = 289 – 64

By subtraction

OM^2 = 225

By taking the square root

OM = √225

OM = 15cm

So the distance between the chords = OM + OL

By substituting the values

Distance between the chords = 8 + 15 = 23cm

Therefore, the distance between the chords is 23 cm.

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Two Parallel Chord Of Length 30 And 16 Cm Are Drawn On The Oppoite Ide Of The Centre Of The Circle Of

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Answers

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Step-by-step explanation:

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official approval given by an organisation when something / somebody achieves a certain standard

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Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
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Answer: d

Step-by-step explanation:

Answer:

300

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b

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Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]

[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]

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Answers

Answer:

2.2 inches

Step-by-step explanation:

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SSS~

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Step-by-step explanation:

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photo math is very helpful with those type of problems

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Then

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… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)

… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))

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