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Circles

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Hi Sir, please help.

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aniket prajapati 21/11/2018 11:22 am
1542779379692309473000
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76257086 F72E 4BCF BFBE B1B1A95F40E1

solution please

TG Team 23/11/2018 1:58 pm
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In a circle chords ab and cd intersect perpendicularly at p. If ap= 20, pb= 36, and cp= 24, then the perimeter of the circle is. 

This post was modified 5 years ago by tanvi
Aditya Dang 21/06/2021 3:11 pm

Perimeter of circle is 2pi(793)^1/2.

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a)96   b) 75   c)80  d)88

TG Team 20/11/2020 10:13 pm

@amritamirchandani
Hi Amrita,
Let the radius of the larger circle R. So
AB × BC = FB² ( Chord Intersection Theorem)
R (R-42) = (R -24)²
R = 96
Now AC = AD - CD = 2 × 96 -28 = 150
Radius of the smaller circle => AC/2 = 75

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