Chord Properties of Circles

Q.

Define Segment of a Circle.

Q.

The part of the circle between any two points on the circle is called _________.

1. segment

2. arc

3. circumference

4. radius

Q. An arc is a part of the circumference of a circle.

1. True
2. False

Q. In the given figure, points G, D, E, F are concyclic points of a circle with centre C.
∠ ECF = 70°, m(arc DGF) = 200° find m(arc DE) and m(arc DEF).

Q.

In the given figure, Arc BAD is known as:

1. Major arc.

2. Minor arc.

3. Both halves are equal so it may be major or minor arc.

4. None of these.

Q. Question 5 (i)
In a circle of radius 21 cm, an arc subtends an angle of ${60}^{\circ }$ at the centre. Find:
(i) the length of the arc

Q.

The arc of the longer length of a circle is called the ___ arc.

Major arc 

Q.

AB is a chord of a circle. AB divides the circumference of the circle into two parts. The part with the longer length is called ____ and the part with shorter length is called ____.

1. major arc, minor arc

2. minor arc, minor arc

3. minor arc, major arc

4. minor arc, major arc

Q. Abc is an arc of circle with centre p , if measure angle abc is 110 then abc is (major /minor) arc?

Q. An arc is a part of the circumference of a circle.

1. True
2. False

Q.

In fig, if $\angle ATO={40}^{\circ }$, find $\angle AOB$. [2 MARKS]

Q. The angle formed by two intersecting radii such that its vertex is at the center of the circle is called the

1. central angle
2. inscribed angle
3. intercept arc
4. side angle

Q. Two parallel chords on the same side of the centre of a circle are $10cm$ and $24cm$ long and their distance apart is $7cm$. Calculate the radius of the circle.

1. $13cm$
2. $7cm$
3. $8cm$
4. $5cm$

Q.

Two lines are perpendicular if they intersect each other at

1. acute angle

2. right angle

3. obtuse angle

4. None of these

Q. Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact

Q. What is an arc ? What are major and minor arcs ?

Q. Any part of the circumference of the circle is called as

1. radius
2. arc
3. circumference
4. none of these

Q.

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

1. Arc

2. Radius
3. Diameter
4. Centre

Q.

Think and Learn Pvt. Ltd. management has decided to build a basketball court for their employees. The court plan is as shown in the figure.

Can you identify how many circles and arcs are there in the plan?

1. 1 and 4

2. 4 and 1

3. 2 and 3

4. 3 and 2

Q.

Two points on the circumference of the circle result in the formation of two arcs. The arc of greater length is called __ arc.

Q.

Arc BCD is known as

1. Minor arc

2. None of these

3. Major arc

4. Both halves are equal so it may be major or minor arc

Q.

A company decided to build a basketball court for their employees. The court plan is as shown in the figure.

Identify the number of circles and arcs in the plan.

Q. The following figure shows a circle with diameter $AB$ and center at point $O$. If $m$ $\angle$ $CAB=$ ${35}^0$; then $m$ $\angle$ $ABC$ is

1. ${90}^0$
2. ${55}^0$
3. ${60}^0$
4. ${45}^0$

Q. If $AB$ and $AC$ are two chords of a circle of radius $5$ cm such that $AB=AC=4\sqrt{5}$ cm, then the length of the chord $BC$ is

1. $8.4$ cm
2. $8$ cm
3. $9$ cm
4. None of these

Q.

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

1. AYB, AXB

2. XAY, XBY

3. AXB, AYB

4. XBY, XAY

Q. The length of the chord of a circle is $8$cm and perpendicular distance between centre and the chord is $3$cm. Then the radius of the circle is equal to?

1. 4 cm
2. 5 cm
3. 6 cm
4. 8 cm

Q. Say true or false:

1. True
2. False

Q. $O$ is the centre of the circle. $AB$ and $CD$ are two chords of the circle. $OM\perp AB$ and $ON\perp CD$. If $OM=ON=2$ cm and $AM=BM=4.5$ cm, then $CD$ is equal to

1. $8$ cm
2. $9$ cm
3. None of these
4. $10$ cm

Q. Find measure of arc $BC$.

1. ${110}^o$
2. ${120}^o$
3. ${104}^o$
4. ${118}^o$

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

1. Arc
2. Segment
3. Sector