CIRCLES - MCQs

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Maths — CIRCLES

50 Questions Class 9 MCQs
1
A circle is the collection of all points in a plane that are at a fixed distance from a ______.
2
A line segment joining any two points on a circle is called a ______.
3
The longest chord of a circle is always its ______.
4
The distance from the centre to any point on the circle is called the ______.
5
A semicircle subtends an angle of ______ at the centre.
6
A semicircle subtends an angle of ______ at any point on the circle.
7
If two chords are equal, their corresponding arcs are ______.
8
A region bounded by a chord and its corresponding arc is called a ______.
9
A region bounded by two radii and the included arc is called a ______.
10
If a perpendicular is drawn from the centre to the chord, the chord is ______.
11
If a line from the centre bisects a chord, the line is ______ to the chord.
12
The angle subtended by a chord at the centre is ______ the angle subtended at the remaining part of the circle.
13
A quadrilateral is cyclic if its opposite angles are ______.
14
If all four vertices of a quadrilateral lie on a circle, it is called a ______.
15
In a cyclic quadrilateral, the exterior angle equals the ______ opposite angle.
16
Equal chords of a circle are equidistant from the ______.
17
The perpendicular bisector of any chord passes through the ______.
18
The sum of all angles at the centre around a point is ______.
19
The total number of radii a circle can have is ______.
20
The total number of chords a circle can have is ______.
21
A line intersecting a circle in two points is called a ______.
22
A line touching a circle at exactly one point is called a ______.
23
A circle has exactly ______ line(s) of symmetry.
24
A circle has rotational symmetry of order ______.
25
Angle subtended by diameter at circle is always ______.
26
The number of circles that can pass through 3 non-collinear points is ______.
27
The number of circles that can pass through two given points is ______.
28
Equal arcs subtend ______ angles at the centre.
29
A diameter divides the circle into ______ equal parts.
30
If a chord is moved farther from the centre, its length ______.
31
A circle with centre at origin and radius 5 is represented by points ______ units away.
32
In a circle, the locus of points at constant distance from centre is the ______.
33
In a cyclic quadrilateral, sum of opposite angles is ______.
34
A closed curve having all points at equal distance from centre is called ______.
35
A diameter is a chord that ______ the centre.
36
The boundary of a circle is called the ______.
37
The common point of a tangent and a circle is called ______.
38
The measure of a full circle at centre is ______.
39
The part of the circumference between two points is called a ______.
40
A major arc is ______ than 180°.
41
A minor arc is ______ than 180°.
42
If centre lies inside the quadrilateral, the quadrilateral is ______ cyclic.
43
A radius is a line segment from centre to ______.
44
Equal chords subtend ______ arcs.
45
The degree measure of a semicircle is ______.
46
The entire angle at centre is ______ times the angle at circumference.
47
Which of the following is always cyclic?
48
A quadrilateral whose vertices lie on a circle is called ______.
49
The angle subtended by an arc at the centre depends on the ______.
50
The centre of a circle can be located by drawing ______.
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Frequently Asked Questions

A circle is a set of all points in a plane that are at a fixed distance (radius) from a fixed point called the centre.

The distance from the centre to any point on the circle. All radii of a circle are equal.

A line segment passing through the centre and touching both ends of the circle. It is twice the radius.

\( \text{Diameter} = 2 \times \text{Radius} \).

A chord is any line segment joining two points on a circle.

The diameter is the longest chord.

A part of the circumference between two points is called an arc.

The smaller arc between two points on a circle.

The larger arc between the same two points on a circle.

A \(180^\circ\) arc formed by endpoints of the diameter.

A region bounded by a chord and its corresponding arc.

Minor segment and major segment.

A region enclosed by two radii and the connecting arc.

The angle subtended at the centre by an arc or chord.

Angle formed at centre by joining centre with chord endpoints.

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