Prove that if chords of congruent circlessubtend equal angles at their centres, then the chords are equal.

Equal chords of a circle subtend equal angles at the centre.

Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

If the angles subtended by the chords of a circle at the centre of the circle are equal, then the chords are equal.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If the slope of a pi/3 chord of x^(2)+y^(2)=4 is 1, then its equation is

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. The distance of 2pi //3 chord of x^(2)+y^(2)+2x+4y+1=0 from the center is

Fill in the Blanks: Equal arcs of a circle subtend_____ angles at the centre.

Two angles are congruent if they have equal measure.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If x+y=1 is a chord of x^(2)+y^(2)=1 , then alpha is equal to