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in a figure two circles C1 and C2 touch Each Other internally at Q with Centres O and O' respectively. if radii of bigger and smaller circles are 4cm and 3cm respectively and ACDB is the straight line of 2 root 15 CM ,then find the length of OA and AC. |
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Answer» two circles C1 and c2 touch each other internally at Q with centres O and O' respectively. radii of bigger and smaller circles are 4 CM and 3 cm respectively and ACDB is the straight line of 2√15 cmTo Find : LENGTHS of OA and ACSolution :AB = 2√15 cm AB is chord of circle C2Radius of C2 = 4 cm and center O'O'A = O'B = 4cm intersection of PQ & AB = MAM = BM = AB/2 = √15 cmO'A² = O'M² + AM²=> 4² = O'M² + (√15)²=> 16 = O'M² +15=> O'M² = 1=> O'M =1 O'Q = 4 cmOQ = 3cm=> OO' = 1 cmO'M =1 => OM = 1 + 1 = 2 cm OA² = OM² + AM²=> OA² = 2² + (√15)²=> OA² = 4 + 15=> OA = √19 cmOC² = OM² + CM²=> 3² = 2² + CM²=> CM² = 5=> CM = √5 cmAC = AM - CM = √15 - √5 = √5(√3 - 1) cm OA = √19 cm AC = √5(√3 - 1) cmLearn More:Two circles touch internally at x the smaller circle passing through ...brainly.in/question/13955799in the following figure , two circles touch each other internally in a ...brainly.in/question/15536860Two circle touch each other internally in apoint A.The Radius of the ...brainly.in/question/8050868 |
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