# Free Circles 01 Practice Test - 5th Grade

The diameter of a circle passes through the ____ of a circle.

A.

point

B.

circumference

C.

centre

D.

chord

#### SOLUTION

Solution : C

The diameter of the circle is the longest chord that passes through the centre of the circle. Here, O is the centre of the circle and AB is its diameter.

Diameter is the  ____  of a circle.

A.

longest chord

B.

shortest chord

C.

D.

circumference

#### SOLUTION

Solution : A

Diameter is the longest chord of the circle. It divides the circle into exactly two halves.

The distance around the circle is called ____.

A.

B.

diameter

C.

centre

D.

circumference

#### SOLUTION

Solution : D

The length of the boundary or the distance around a circle is known as the circumference. The diameter divides the circle into two equal parts, each part is ____.

A.

Semi-circle

B.

C.

Circle

D.

Circumference

#### SOLUTION

Solution : A

The diameter is the longest chord that divides the circle into exactly two halves. Each part is called as Semi-Circle. What is a line segment passing through the center of the circle and having its end points on the circle called?

A.

Diameter

B.

Shortest chord

C.

D.

Circumference

#### SOLUTION

Solution : A

A line segment passing through the center of the circle and having its end position on the circle is called Diameter.
A and B are the endpoints that are lying on the circumference of the circle. Which picture shows 180° of a circle?

A. B. C. D. #### SOLUTION

Solution : B

180 of a circle is half of a circle (that is half of 360=180) The above image is half of a circle. That is 180 of a circle.

Circles that have the same centre but different radii are called as ____.

A.

Co-interior circles

B.

Concentric circles

C.

Intersecting circles

D.

Overlapping circles

#### SOLUTION

Solution : B

Circles that have the same center but different radii are called concentric circles. If diameter of a circle is 18 cm, then the radius is ____ cm.

A.

9 cm

B.

36 cm

C.

18×18 cm

D.

18 cm

#### SOLUTION

Solution : A

We know that the radius of the circle is half of the diameter.
Therefore, if diameter is 18, then radius is half of 18, which is 9 cm.

The perimeter of a semi-circle is ____.

A.

B.

Half of Diameter

C.

Half of Circumference

D.

Twice of Circumference

#### SOLUTION

Solution : C

The perimeter of a circle is called the circumference.
Semi-circle is half of the circle and its circumference is half of a circle’s circumference. In an archery board, the radius of the yellow circle is 5cm, and the radius of each of the next circles is 2 cm more than the previous ones. Find the diameter of the blue circle.

A.

22 cm

B.

18 cm

C.

49 cm

D.

9 cm

#### SOLUTION

Solution : B

Radius of the yellow circle is 5 cm.
Blue circle is the third circle from the centre of the archery board. So, its radius is 5 cm + 2 cm + 2 cm = 9 cm.
Since the diameter of a circle is twice its radius, diameter equals 2 × 9 cm = 18 cm.