# Chord Properties of Circles

## Trending Questions

**Q.**

Define Segment of a Circle.

**Q.**

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

segment

arc

circumference

- radius

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

- True
- 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:

Major arc.

Minor arc.

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

None of these.

**Q.**

**Question 5 (i)**

In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find:

(i) the length of the arc

**Q.**

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

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 ____.

major arc, minor arc

minor arc, minor arc

minor arc, major arc

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.

- True
- False

**Q.**

In fig, if ∠ATO=40∘, find ∠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

- central angle
- inscribed angle
- intercept arc
- side angle

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

- 13 cm
- 7 cm
- 8 cm
- 5 cm

**Q.**

Two lines are perpendicular if they intersect each other at

acute angle

right angle

obtuse angle

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

- radius
- arc
- circumference
- none of these

**Q.**

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

Arc

- Radius
- Diameter
- 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 and 4

4 and 1

2 and 3

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

**Q.**

Arc BCD is known as

Minor arc

None of these

Major arc

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 ∠ CAB= 350; then m ∠ ABC is

- 900
- 550
- 600
- 450

**Q.**If AB and AC are two chords of a circle of radius 5 cm such that AB=AC=4√5 cm, then the length of the chord BC is

- 8.4 cm
- 8 cm
- 9 cm
- None of these

**Q.**

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

AYB, AXB

XAY, XBY

AXB, AYB

XBY, XAY

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

- 4 cm
- 5 cm
- 6 cm
- 8 cm

**Q.**Say true or false:

- True
- False

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

- 8 cm
- 9 cm
- None of these
- 10 cm

**Q.**Find measure of arc BC.

- 110o
- 120o
- 104o
- 118o

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

- Arc
- Segment
- Sector