Maths / Circles / Angle at the Centre is Double The Angle at Circumference

QUESTION
 

The chord of a circle is equal to its radius. The angle substended by this chord at the minor arc of the circle is

OPTIONS
A. 

60^o

B. 

75^o

C. 

120^o

D. 

150^o

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

The chord of a circle is equal to its radius.The triangle fromed by the chord at the centre is an equilateral triangle so the angle subtended by the chord at the centre is large 60^0

The reflex of the angle = large 360^0-60^0= 300^0

The angle substended by this chord at the minor arc of the circle islarge =frac{ 300^0}{2}=150^0

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