Maths / Circles / Equal Chords of a Circle Subtend Equal Angle at the Centre

QUESTION
 

In the given circle, O is the centre of the circle and AM = 4 units. angle AOM = 60^0

angle POQ = 60^0 The perimeter of Delta POQ is

 

 

OPTIONS
A. 

4 units

B. 

12 units

C. 

24 units

D. 

6 units

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

In Delta AOM; [ angle AOM = 60^0

angle OAM =angle OMA angle opposite equal sides are equal

angle OAM =angle OMA = x

in Delta AOM

x + x+ 60^0 = 180^0

2x = 120^0

x = 60^0

Delta AOM; is; an; equilateral; triangle

perimeter 0f Delta AOM =  4+ 4+ 4= 12 units

As equal chords subtend equal angle and angle POQ = 60^0

PQ= AM = 4units

perimeter 0f Delta POQ =  4+ 4+ 4= 12 units

 

 

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