Terms Related to Circles

Q. What is length of chord of a circle with its radius as 5 cm and perpendicular distance from centre is 4 cm?

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

Q. In the adjoining figure, O is the centre of the circle whose diameter is MN. Measures of some central angles are given. Find the measure of angle AOB.

1. ${80}^{\circ }$
2. ${70}^{\circ }$
3. ${85}^{\circ }$
4. ${75}^{\circ }$

Q.

Using the information given in the figure, match the following.

1. I - (a), II - (c), III- (b)
2. I - (c), II - (a), III- (b)
3. I - (a), II - (b), III- (c)
4. I - (b), II - (a), III- (c)

Q.

What is the part of a circle along the circumference between P and Q called?

1. Centre

2. Arc

3. Radius
4. Diameter

Q. State whether the given statement is true or false.
Two line segments are said to be congruent if they are equal in length.

1. True
2. False

Q. A, B, C are any points on the circle with centre O. m(arc BC)=120${}^{\circ }$ and m(arc AB)=130${}^{\circ }.$
Then,

1. ${250}^{\circ }$
2. ${110}^{\circ }$
3. ${230}^{\circ }$
4. ${240}^{\circ }$

Q. A, B, C are any points on the circle with centre O. m(arc BC)=140${}^{\circ }$ and m(arc AB)=100${}^{\circ }$. Then m(arc ABC) = .

1. 40${}^{\circ }$
2. 260${}^{\circ }$
3. 220${}^{\circ }$
4. 240${}^{\circ }$

Q.

The angle subtended by the diamete at the centre of a circle is

1. $0^{\circ }$

2. ${180}^{\circ }$

3. ${360}^{\circ }$

4. ${720}^{\circ }$

Q.

Fill in the blanks:

The dotted line represents the_________.

Q. Which of the following is a chord?

1. Segment
2. Radius
3. Diameter
4. Arc

Q.

Two line segments are said to be congruent, if they are equal in magnitude.

1. True

2. False

Q. In a circle with center O, a perpendicular is dropped from the center to a chord RT. Find the length of RO, if length of RT = 12 cm and QO = 8 cm.

Q.

If AB is a chord which passes through the centre O of a circle, then what is AB known as?

1. Diameter of the circle

2. Radius of the circle

3. Sector of the circle

4. Segment of the circle

Q. In the given figure, if AB = OA then $\angle AOB={60}^{\circ }$.

1. True
2. False

Q.

What is arc BAD of the circle, centred at O as shown below, known as?

1. Major arc
2. Minor arc
3. Semicircle
4. Both halves are equal so it may be a major or a minor arc.

Q.

Which of the following is equal to the length of the curve in red in the given circle?

1. Centre

2. Segment

3. Radius

4. Circumference

Q.

In the given diagram O is the center of the circle and CD is a tangent. $\angle$CAB and $\angle$ACD are supplementary to each other $\angle$OAC = ${30}^{\circ }$. Find the value of $\angle$OCB.

1. None of these

2. 

3. 

4. 

Q. AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then find the radius of the circle.

Q.

If AB is a chord which passes through the centre O of a circle, then what is AB known as?

1. Diameter of the circle

2. Radius of the circle

3. Sector of the circle

4. Segment of the circle

Q. Circles having the same centre but different radii are .

1. touching
2. intersecting
3. concentric
4. equal

Q. In a circle with center O, a perpendicular is dropped from the center to a chord RT. Find the length of RO, if length of RT = 12 cm and QO = 8 cm.

Q. In a circle with center O, a perpendicular is dropped from the center to a chord PQ. Find the length of PO, if length of PQ = 24 cm and KO = 5 cm.

Q. What is length of chord of a circle with its radius as 5 cm and perpendicular distance from centre is 4 cm?

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

Q. Two line segments are equal in magnitude then they are said to be ________

1. Corresponding
2. Congruent
3. Orthogonal
4. Incongruent

Q.

In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.

1. AXBA, AYBA

2. AYBA, AXBA

3. XAYX, XBYX

4. XBYX, XAYX

Q. A chord (which is not a diameter) divides a circle into two .

1. segments
2. sectors
3. halves