Practice Test on Circle has different models of questions. Attempt all the questions available on this page to test your knowledge of circle concepts. We have also given answers to every question with a clear explanation. Check out the answers after you analyze the answer for the given question. The concept of the Circle is quite important among all the math concepts. Begin your practice now and easily get good marks in the exam.
Do Check,
- Circle Math
- Worksheet on Circle
- General Form of the Equation of a Circle
- Circumference and Area of Circle
Circle Quiz Worksheet
Example 1.
State whether each of the following statements is true or false.
(i) The diameter represents the length of a circle.
(ii) The chord of a circle can be equal to the diameter of a circle.
(iii) The chord of a circle is also its radius.
(iv) A circle is a closed figure without corners.
(v) A circle is a polygon.
(vi) The centre of a circle bisects each chord of the circle.
(vii) Each diameter of a circle is also a chord of the circle.
(viii) Each radius of a circle is also a chord of the circle.
Solution:
(i) False
(ii) True.
(iii) False.
(iv) True.
(v) False.
(vi) False
(vii) True.
(viii) False.
Example 2.
Draw a circle of radius 2 cm.
Solution:
Given that the radius of the circle is 2 cm.
The radius is the line segment from the centre to the circumference or surface of the circle.
Let the centre be O. and the point on the circle circumference be A.
OA = 2 cm.
Example 3.
If the diameter of a bangle is 36 cm, then find the length of the straight sides of the bangle.
(i) Diameter = ………………
(ii) Radius = ………………
(iii) Side of the pizza slice.
Solution:
Given that the diameter of a bangle is 36 cm.
(i) The diameter of the bangle d = 36 cm.
(ii) The radius of the bangle r = 18 cm.
(iii) Side of the pizza slice = 18 cm.
Example 4.
Draw a circle of diameter 6.5 cm.
Solution:
Given that the diameter of a circle is 6.5 cm.
The diameter of the circle is defined as double the length of the radius of a circle.
Let the centre be o. AB is the diameter of the circle.
The figure is as shown below:
Example 5. Fill in the blanks
(i) Any part of a circle is called an ……………. of the circle.
(ii) If we combine any two points on a circle by a line segment. We obtain a …………… of the circle.
(iii) A radius of a circle is a line segment with one end point ………….. and the other end…………… .
(iv) A diameter of a circle is a chord that ………..through the centre.
Solution:
(i) An arc of the circle.
(ii) A chord of the circle.
(iii) at centre and a point on the circle.
(iv) passes
Example 6.
From the given figure name
(i) Centre of the circle.
(ii) All the chords.
(iii) All the diameters.
(iv) All the radii.
Solution:
(i) Centre of the circle is O.
(ii) PQ, RS, LM, and MS are the chords of the circle.
(iii) LM and RS are the diameters of the circle.
(iv) OL, OM, OR, and OS are the radii of the circle.
Example 7.
Choose the right answer.
(i) The circle with a radius 8 cm will have the diameter of __________.
(a) 16 cm (b) 12 cm (c) 11 cm (d) 10 cm
(ii) A circle has __________ lines of symmetry.
(a) 15 (b) 30 (c) infinite (d) 20
Solution:
(i) Given that the circle with a radius 8 cm.
To find the diameter of the circle, double the radius of the circle.
d = 2r = 2 (8 cm) = 16 cm.
The diameter of the circle = 16 cm
Therefore, the final answer is (a) 16 cm
(ii) A circle has infinite lines of symmetry.
Example 8.
Draw a circle of radius
(i) 3 cm
(ii) 5 cm
Solution:
(i) Given that the radius of the circle is 3 cm.
Let the centre be o. and the point on the circumference of the circle is M.
The figure is shown below.
(i) Given that the radius of the circle is 5 cm.
Let the centre be o. and the point on the circumference of the circle is M.
The figure is shown below.
Example 9.
For the given circle:
(i) Name the Diameters
(ii) Name the Radii
(iii) Count the number of chords
Solution:
(i) The diameters of the circle = AB, CD.
(ii) The radii of the circle = OA, OB, OC, OD, OE, OF, OG.
(iii) The chords of the circle = AB, CD, EF, FG, GD.
Therefore, there are 5 chords available on the given circle.
Example 10.
Draw a circle whose diameter is 7 cm. Find its radius.
Solution:
Given that the diameter of the circle is 7 cm. Let the centre be O and the diameter of the circle is AB.
The radius of the circle is half of the diameter.
d = 2r.
7 = 2r
r = 3.5 cm.
Therefore, the radius of the circle is 3.5 cm.
Example 11.
Fill in the blanks:
(i) The line segment between the centre and a point on the circle is called………….
(ii) The distance around the circle is called as ………………….
(iii) If the radius is 2.3 cm, the diameter is …………..
(iv) The name of the Half of a circle is called a ……………………………….
(v) We name an ………………………………… by three points.
(vi) When the diameter is 12.6 cm, the radius is …………..
Solution:
(i) The line segment between the centre and a point on the circle is called the radius.
(ii) The distance around the circle is called the circumference.
(iii) If the radius is 2.3 cm, the diameter is 4.6cm.
(iv) The name of the Half of a circle is called a semi-circle.
(v) We name an arc by three points.
(vi) When the diameter is 12.6 cm, the radius is 6.3 cm.
Example 12.
Using a compass draw a circle of radius 6 cm. Name its centre as L. Draw and mark:
(i) A radius LN
(ii) A diameter XY.
Solution:
Given that the circle of radius is 6 cm. The centre is L. Radius LN. The diameter XY.
Example 13.
Write true or false:
(i) All the radii of a circle are equal in length.
(ii) Chord of a circle is a segment having its end points on the circle.
(iii) If the distance of a point from the centre of a circle is more than its radius, the point lies in the interior of the circle.
Solution:
(i) True.
(ii) True.
(iii) False.
Example 14.
Draw a circle of radius 4 cm. Mark three points each.
(i) In the interior of the circle.
(ii) On the circle.
(iii) In the exterior of the circle.
Solution:
X is in the interior of the circle
N is on the circle.
Y is in the exterior of the circle.
Example 15.
A circle has a radius of 9 cm. Find the length of the longest chord of this circle?
Solution:
A circle has a radius of 9 cm.
The longest chord of this circle is a diameter.
The diameter of the circle is double the radius of the circle.
Therefore, the length of the longest chord of this circle = 2r = 2 (9 cm) = 18 cm.