QUIZ ON PARTS OF A CIRCLE

Problem 1 :

________ is the line segment joining the center of a circle to any point of the circle.

Solution :

·  All the points on the circle are at equal distances from the center of the circle, and this equal distance is called as radius of the circle.

· Hence, a line segment joining the center of a circle to any point of the circle is called radius.

Problem 2 :

________ is the longest chord.

Solution :

· Chord is a line segment connecting two points on a curve.

· Draw a straight line between these two points on the edge of the circle. This line is called a chord.

· When the chord passes through the center of a circle it is called the diameter.

· Diameter is the longest chord of a circle.

Problem 3 :

Perimeter of the circle is its ______.

Solution :

·  The circumference is the distance around a circle.

· Circumference of a circle = 2πr or πd

· Perimeter of the circle is called its circumference.

Problem 4 :

A _______ of a circle is a line segment joining any two points on the circle passing through origin.

Solution :

· A chord is a line segment with both endpoints on the same circle.

·  The largest possible chord is always a diameter.

· The line segment joining any two points on the circle passing through origin is called a chord of the circle.

Problem 5 :

The circumference of a circle with radius 7 cm is ______.

Solution :

Given, radius = 7 cm

Circumference of the circle = 2πr

= 2 × 22/7 × 7

= 44 cm

So, circumference of the circle is 44 cm.

Problem 6 :

A _____ is a line segment whose end points lie on the circle.

Solution :

· Any line segment that joins two points present on the circumference of the circle is called a chord.

· A chord of a circle is a straight line segment whose endpoints both lie on the circle.

Problem 7 :

Half of the semicircle is called _____.

Solution :

Half of the semicircle is called

     Half of the semicircle is called quadrant.

Problem 8 :

The circumference of a circle is ____.

Solution :

Perimeter of circle = circumference -- (1)

Perimeter = boundary -- (2)

From (1) & (2)

Circumference = boundary

The circumference of a circle is called boundary.

Problem 9 :

Draw a circle of radius 4.2 cm. Draw its longest chord and measure it.

Solution :

Longest chord of a circle will be diameter. So, longest chord of circle is 8.4 cm.

Problem 10 :

If two circles of center O and C with radii 3 cm and 4.5 cm touch externally. What is the distance between their centers?

Solution :

The distance between their centers = r₁ + r₂

= 3 + 4.5

= 7.5 cm

Problem 11 :

If length of a chord passing through the center of the circle is 12 cm. what is the radius of the circle?

Solution :

Diameter of the circle = 12 cm

r = 12/2

r = 6 cm

So, the radius of circle is 6 cm.

Problem 12 :

Draw a circle having diameter 9.6 cm. measure the radius.

Solution :

diameter of a circle = 9.6 cm

Radius = d/2

= 9.6/2

= 4.8 cm

Problem 13 :

How many circles can be drawn to pass through two given points?

Solution :

Infinite number of circles can be drawn from two points.