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If the figure shown is that of two concentric circles where two radii

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If the figure shown is that of two concentric circles where two radii  [#permalink]

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New post 13 Sep 2018, 04:09
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If the figure shown is that of two concentric circles where two radii form the angle labeled x, what is the perimeter of the shaded region?

(1) The radius of the outer circle is twice that of the inner circle.
(2) The radius of the inner circle is 4.


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Re: If the figure shown is that of two concentric circles where two radii  [#permalink]

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New post 15 Sep 2018, 03:20
Perimeter of the shaded region = Length of inner circle arc + length of outer circle arc + 2( difference of the radii)

Perimeter of the arc formula = r(2+θ)

1) The radius of the outer circle is twice that of the inner circle.
R = 2r
θ is not known... Outer circle radius (R) and inner circle radius (r) can have different values. To specifically determine perimeter will not be possible so not sufficient

2) The radius of the inner circle is 4.
no clue what the outer circle Radius is

From 1 and 2
R=2(4) = 8
θ = not known
we still need angle formed by the radii... so not sufficient
Hence E
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Re: If the figure shown is that of two concentric circles where two radii  [#permalink]

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New post 17 Sep 2018, 07:08
Bunuel I do not know if the perimeter of the shaded region can be found out. I am having trouble in understanding the concept. Could you please help me here?
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Re: If the figure shown is that of two concentric circles where two radii  [#permalink]

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New post 27 Sep 2018, 08:08
KaulMeAnkit wrote:
Bunuel I do not know if the perimeter of the shaded region can be found out. I am having trouble in understanding the concept. Could you please help me here?


Hi,

The perimeter will be divided into four parts
1. left hand of section(shaded area) = r(larger circler) - r(smaller circle)
2. right hand of section = r(larger circler) + r(smaller circle)
3. length of arc (bigger circle) = x/360* (2pi*r larger circle)
4. length of arc (smaller circle) = x/360* (2pi*r smaller circle)

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Re: If the figure shown is that of two concentric circles where two radii &nbs [#permalink] 27 Sep 2018, 08:08
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