WORKSHEET ON CIRCLES

Question 1 :

The _______ of a circle is the distance from the centre to the circumference.

(A) sector

(B) segment

(C) diameters

(D) radius

Question 2 :

The relation between radius and diameter of a circle is ______

(A) radius = 2 × diameters

(B) radius = diameter + 2

(C) diameter = radius + 2

(D) diameter = 2 (radius)

Question 3 :

The longest chord of a circle is

(A) radius

(B) secant

(C) diameter

(D) tangent

Question 4 :

Area of a semicircle is ________ times the area of the circle.

(A) two

(B) four

(C) one-half

(D) one-quarter

Question 5 :

The line segment that joins the centre of a circle to any point on the circle is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Question 6 :

A line segment joining any two points on the circle is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Question 7 :

A chord passing through the centre is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Question 8 :

The diameter of a circle is 1 m then its radius is

(A) 100 cm

(B) 50 cm

(C) 20 cm

(D) 10 cm

Solutions

Question 1 :

The _______ of a circle is the distance from the centre to the circumference.

(A) sector

(B) segment

(C) diameters

(D) radius

Answer :

The distance between the center point and a point on a boundary line is known as radius.

So, the correct answer is radius.

Question 2 :

The relation between radius and diameter of a circle is ______

(A) radius = 2 × diameters

(B) radius = diameter + 2

(C) diameter = radius + 2

(D) diameter = 2 (radius)

Answer :

The distance between the center point and a point on a boundary line is known as radius.

The length of the line segment passing through the centre of the circle is known diameter. Half of the diameter is called radius.

So, the correct answer for the above question is

diameter = 2 (radius)

Question 3 :

The longest chord of a circle is

(A) radius

(B) secant

(C) diameter

(D) tangent

Answer :

A segment of a straight line joining two points on a circle is called a chord; a chord that passes through the center of the circle is called a diameter.

So, the correct answer is diameter.

Question 4 :

Area of a semicircle is ________ times the area of the circle.

(A) two

(B) four

(C) one-half

(D) one-quarter

Answer :

Two semicircles will create a whole circle. So area of semicircle is one half of the area of circle.

Question 5 :

The line segment that joins the centre of a circle to any point on the circle is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Answer :

Because the line segment that joins the center of the circle to any point on the circle, it is called as radius. If it will connect any two points on the boundary line,then we have to call it as diameter.

Question 6 :

A line segment joining any two points on the circle is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Answer :

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

Question 7 :

A chord passing through the centre is called

(A) Diameter

(B) Radius

(C) Chord

(D) None

Answer :

A chord passing through the centre is called diameter and it is the longest chord.

Question 8 :

The diameter of a circle is 1 m then its radius is

(A) 100 cm

(B) 50 cm

(C) 20 cm

(D) 10 cm

Answer :

Radius  =  Diameter/2  =  1/2  =  0.5 m

Since the answer is in unit of cm, we have to convert meter into cm. For that we have to multiply 0.5 by 100.

0.5(100) = 50 cm   

So, the correct answer is 50 cm.

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