Question

Distance of chord AB from the centre of a circle is 8 cm.Length of the chord AB is 12 cm . find the diameter of circle

Answer 1

Step-by-step explanation:

Given Distance of chord AB from the centre of a circle is 8 cm.Length of the chord AB is 12 cm . find the diameter of circle

• Let the centre of the circle be m
• So AB = 12 cm and OM = 8 cm
• So MC is perpendicular to AB
• So the chord bisects the perpendicular drawn from the centre of the circle to the chord.
• So AC = 6 cm
• So in triangle MCA,
•              MA^2 = MC^2 + AC^2
•                         = 8^2 + 6^2
•                            = 64 + 36
•                            = 100
•          Or MA = 10 cm
• So we have diameter d = 2 x r
•                                     = 2 x 10
•                                     = 20 cm

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https://brainly.in/question/34007153