Q14 of 22 Page 126

Let us fill in the blanks

(i) The angle at the centre is ______ the angle on the circle, subtended by the same arc.


(ii) The length of two chord AB and CD are equal of a circle with centre O. If ∠APB and ∠DQC are angles on the circle, then the values of the two angles are_______.


(iii) If O is the circumcentre of equilateral triangle, then the value of the front angle formed by any side of the triangle is_______.

(i) Double


By the theorem:-


The angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on circle.


(ii) Equal


By the theorem:-


The angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on circle.


(iii) 60°


The front angle is the angle subtended by the arc at any point on the circle in its opposite arc.


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