ABCDEFGH is a regular octagon inscribed in a circle with centre at O. The ratio of ∠OAB to ∠AOB is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 3 : 2
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Concept |
Understanding |
Application |
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For a regular octagon, ∠AOB = 360/8 |
Given that the regular octagon is inscribed in a circle of centre O.
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∠AOB = 360/8 = 45 Since OA = OB = Radius Hence, ∠OAB = ∠OBA = (180 - ∠AOB)/2 = (180 – 45)/2 = 135/2 Hence, ∠OAB : ∠AOB = 135/2 : 45 = 3 : 2 |