Question

if O is the center of circle of radius r and AB is the chord at a distance r/2 from O then find angle BAO

Answer 1

here is ur answer...
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Answer 2

Given:

• OD = r
• OC = r/2

To Find:

• The measure of the angle BAO.

Solution:

• Construct a diagram using the given data.
• From the diagram consider, ∠OAC and ∠DAC
• From the SAS rule, ∠OAC≅∠DAC
• So, ∠OA = ∠DA
• Now in equilateral ∠OAD,
• ∠AOD = 60°
• ∠CAO = ∠BAO = 30°
• We know that sinθ = AO/AC = $\frac{r}{2}/r$ = 1/2 ( In right angle triangle AOC)
• θ = 30°
• so ∠BAO = 30°

∴ The measure of ∠BAO = 30°.