The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal ? Why ?

State whether each of the following statements is true or false : If the areas of two sectors of two different circles are equal, the lengths of their corresponding arcs are equal.

Areas of two circles are equal. Is it necessary that their circumferences are equal ? Why ?

Areas of two circles are equal. Is it necessary that their circumferences are equal ? Why ?

Circumference of two circles are equal. Is it necessary that their areas be equal ? Why ?

Circumference of two circles are equal. Is it necessary that their areas be equal ? Why ?

The area of two sectors of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement trus ? Why ?

The area of two sectors of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement trus ? Why ?

If two chords of a congruent circle are equal; then their corresponding arcs.

If two arcs of a circle are congruent; then corresponding chords are equal

If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.