Question

the given figure if OA=5cm, AB=8cm, and OD perpendicular to chord AB then to find the value of CD.​

Answer 1

Answer:

radius (OA) = 5 cm OD ⊥ AB ∴ OC ⊥ AB Perpendicular drawn from center of circle bisects the chord. AC = BC = AB AC = [Math Processing Error]12 × 8 AC = 4 cm In right angled triangle OCA OA2 = OC2 + AC2 OC2 = OA2 – AC2 = (5)2 – (4)2 = 25 – 16 = 9 OC = [Math Processing Error]9 OC = 3 cm. ∵ OD = OA = 5 = radius of circle CD = OD – OC = 5 – 3 CD = 2 cm

Step-by-step explanation:

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