Math, asked by Gholase, 6 months ago

If PQ, the distance between the center of two circles,
measures 8 units, what is the length of the red curve?

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Answered by maheshatrijjr
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Answer:

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haasini9 avatar

haasini9

5 days ago

Math

Primary School

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If PQ, the distance

between the center

of two circles,

measures 8 units,

what is the length of

the red curve?

2

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Correct Question :- If PQ, the distance between the center

of two circles measures 8 units, what is the length of the red curve ? Also given that, angle at centre P and Q is 90° .

Solution :-

we know that,

when two circles touch externally, than, the distance between their centre is equal to sum of their radius .

Than,

Let radius of circle with centre P is x units.

So,

→ radius of circle with centre Q will be = (8 - x) units.

Now, we know that,

Length of arc of circle with radius r and angle at centre θ is = (θ/360°) * 2 * π * r .

Putting all values now , we get :-

→ Length of red curve = Length of arc of circle with centre P + Length of arc of circle with centre Q .

→ Length of red curve = [(90°/360°) * 2 * π * x] + [(90°/360°) * π * (8 - x)]

→ Length of red curve = (1/4)[2π*x + 2π*(8 - x)]

→ Length of red curve = (1/4) * 2π[ x + 8 - x ]

→ Length of red curve = (π/2) * 8

→ Length of red curve = 4 π units. (Ans.)

Hence, Length of red curve will be 4π units.

Step-by-step explanation:

Answered by yahvimauli16
4

Answer:

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