Theorem of Equal Angles Subtended by Different Chords

Q.

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

1. True

2. False

Q. Find $\angle ABC$ = ?
$\left[3Marks\right]$

Q.

If the two chords in a circle are equal, then the angle it subtends at the centre is the same.

1. True

2. False

Q. Find the measure of XY, if XY=12cm.

1. 6cm
2. 12cm
3. 10cm
4. 8cm

Q.

In the given figure, O is the centre of the circle. Find the value of $X$.

1. ${30}^{\circ }$

2. ${50}^{\circ }$

3. ${100}^{\circ }$

4. ${40}^{\circ }$

Q.

If the two chords in a circle are equal, then the angles they subtend at the centre are the same.

1. True

2. False

Q.

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

1. False

2. True

Q. In the figure, O is the centre of the circle. Find the length of CD, if AB=5 cm.

1. 4 cm
2. 10 cm
3. 5 cm
4. 3 cm

Q. In the given figure, what is the value of $x$?

1. 5 cm
2. 6 cm
3. 4 cm
4. 10 cm

Q. Two equal chords, $AB$ and $CD$ are at a distance of 10 cm from each other. The distance of chord $AB$ from the centre .

1. $6cm$
2. $5cm$
3. $8cm$