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 is$\large =\frac{ 300^0}{2}=150^0$

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