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Ex 10.2, 7 - Two concentric circles are of radii 5 cm and 3 cm - Ex 10.2

Ex 10.2, 7 - Chapter 10 Class 10 Circles - Part 2
Ex 10.2, 7 - Chapter 10 Class 10 Circles - Part 3

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Ex 10.2,7 Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. Given: Let two concentric circles be C1 & C2 with center O AB be chord of the larger circle C2 which touches the smaller circle C1 at point P To find: Length of AB Solution: Connecting OP, OA and OB OP = Radius of smaller circle = 3 cm OA = OB = Radius of larger circle = 5 cm Since AB is tangent to circle C1 OP ⊥ AB ∴ ∠ OPA = ∠ OPB = 90° Using Pythagoras theorem (Hypotenuse)2 = (Height)2 + (Base)2 Hence, AB = AP + PB = 4 + 4 = 8 cm

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.