Two Concentric Circles with Center O Have A, B, C, D as the Points of Intersection with the Lines L Shown in the Figure. If Ad = 12 Cm and Bc S = 8 Cm, Find the Lengths of Ab, Cd, Ac and Bd. - Mathematics

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Sum

Two concentric circles with center O have A, B, C, D as the points of intersection with the lines L shown in the figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.

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Solution

Since, OM ⊥ BC
BM = CM = `1/2`BC = 4 cm


also, OM ⊥ AD
So, AM = DM = `1/2` AD = 6 cm
now, AB = AM - BM = ( 6 - 4 ) cm = 2 cm
CD = DM - CM = ( 6 - 4 ) cm = 2 cm

∴ AC = AB + BC = ( 2 + 8 ) cm = 10 cm
and BD = BC + CD = ( 8 + 2 ) cm = 10 cm

  Is there an error in this question or solution?
Chapter 15: Circles - Exercise 2

APPEARS IN

ICSE Class 10 Mathematics
Chapter 15 Circles
Exercise 2 | Q 1

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