Question
Download Solution PDFLet C be a circle with center O and AB be a chord of C such that the length of AB is equal to the radius of C. Let D be any point on major arc of AB. Find ∠AOB and ∠ADB, respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Let C be a circle with center O and AB be a chord of C such that the length of AB is equal to the radius of C. Let D be any point on the major arc of AB. Find ∠AOB and ∠ADB, respectively.
Formula used:
1. The angle subtended by a chord equal to the radius in a circle is 60º.
2. The angle subtended by the same chord at the circumference on the major arc is half of the angle subtended at the center.
Calculation:
Given AB = radius of C
⇒ ∠AOB = 60º
For ∠ADB,
⇒ ∠ADB = 1/2 × ∠AOB
⇒ ∠ADB = 1/2 × 60º
⇒ ∠ADB = 30º
∴ The correct answer is option (4).
Last updated on Jul 10, 2025
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