Center

Q.

Find the length of a chord which is at a distance of 5 cm from the centre of a circle of radius 13 cm.

1. 22 cm

2. 26 cm

3. 20 cm

4. 24 cm

Q.

A circle divides the plane, on which it lies, in _____________ parts.

Q.

Centre of a circle lies in the ___ of the circle.

Q. AB and CD are two chords of a circle with centre O such that AB > CD. E and F are the midpoints of AB and CD respectively. Then:
Statement 1: OE > OF
Statement 2: $\angle AOB>\angle COD$

1. Both statement 1 and statement 2 are true.
2. Statement 1 is false, while statement 2 is true.
3. Both statement 1 and statement 2 are false.
4. Statement 1 is true, while statement 2 is false.

Q.

Consider the following statements and choose the right option.

Statement 1: If two arcs are congruent, then their corresponding chords may not be equal.

Statement 2: If the angles subtended by two chords are equal, then the corresponding arcs are congruent.

1. Neither of the statements is true
   

2. Only statement 1 is true

3. Both the statements are true
   
4. Only statement 2 is true
   

Q. If arc (AB) = arc (CD) such that ∠AOB = 135°, then the measure of ∠OCD is:

1. 35°
2. 35°
3. 45°
4. 22.5°

Q.

A chord 12cm long is at a distance of 8cm from the centre of a circle. Its radius is

1. 12 cm

2. 10 cm

3. 7 cm

4. 9 cm

Q. Match the following figures on the left with the appropriate parts of the circle on the right.

1. Arc
2. Segment
3. Sector

Q. a circle with centre O, chords AB and CDintersect inside the circle at E. Prove that ZAOC+ ZBOD = 2 AEC

Q. If arc (AB) = arc (CD) such that ∠AOB = 135°, then the measure of ∠OCD is:

1. 35°
2. 35°
3. 45°
4. 22.5°