Constructions related to a circle - class-VIII
Description: constructions related to a circle | |
Number of Questions: 46 | |
Created by: Vaibhav Pathak | |
Tags: maths constructions geometry construction basic geometrical concepts and shapes practical geometry construction of polygons tangents and secants to a circle line segment geometrical constructions the circle lines, angles and shapes shapes and geometric reasoning geometric constructions |
The number of independent measurement required to construct a triangle is -
The triangle formed by AB = 3 cm BC = 5 cm AC = 9 cm is__
When constructing an inscribed regular hexagon, how will you choose the arc measurement?
The measure of maximum possible exterior angle in a regular polygon is
To construct a quadrilateral minimum of its _________ elements are required.
How many equal parts you will cut the circle to draw inscribing hexagon?
Which tool will you use for cutting a circle into 6 equal parts?
While constructing a circle circumscribing and inscribing a regular hexagon, identify the statement true for the construction?
State true or false:
A quadrilateral is uniquely determined if any four of its elements are known.
If the side of a regular hexagon is $6$ cm, then its area will be
The centre of the circle circumscribing the square whose three sides are $3x+y=22,x-3y=14$ and $3x=y=62$ is:
A square is inscribed in the circle $x^2 + y^2 -2x +4y - 93 = 0$ with its sides parallel to the coordinates axes. The coordinates of its vertices are
For each of the following, drawn a circle and inscribe the figure given.If a polygon of the given type can't be inscribed,write not possible.
In regular hexagon, if the radius of circle through vertices is r, then length of the side will be
When constructing the circles circumscribing and inscribing a regular hexagon with radius $3$ m, then inscribing hexagon length of each side is
The area of a circle inscribed in a regular hexagon is $100\pi$. The area of the hexagon is:
With the help of a normal ruler and a compass only, which of the following line segment is possible to construct?
Which of the following line segments can be drawn with the help of a ruler and compass ?
With the help of a normal ruler, which of the following line segment is possible to construct?
The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.
Which of the above steps comes last?
To construct a line segment of a given length, which of the following pairs of instruments are needed?
Construct a line segment of length $8.4\ cm$. Divide this line into $3$ equal parts and find the length of each part.
The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.
Which of the above steps comes first?
The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.
Which of the above steps comes second?
The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.
Which of the above steps comes third?
State whether true/false
We can construct a copy of a line segment of length $2.345$ using scale/compass.
Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.
Which of the above comes last.
Which of the following line segments cannot be drawn with the help of a ruler and compass ?
Construct a line segment of length $12.4\ cm$. Divide this line into $4$ equal parts and find the length of each part.
Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.
Arrange them in correct order.
Construct a line segment of length $4.6\ cm$. Divide this line into $2$ equal parts and find the length of each part.
Draw a line $AB=7.8\ cm$, what will be the $\dfrac{2}{3}$rd of $AB$.
Construct a line $AB=6.5\ cm$. What will be the $\dfrac{1}{5}$th of $AB$ ?
Draw a line $XY=13.6\ cm$. what will be the $\dfrac{1}{4}$th of $XY$ ?
Draw a line $PQ=9.6\ cm$. What will be the $\dfrac{1}{3}$rd of $PQ$ ?
Use your compasses to draw a circle of radius as specified below. What is the diameter of each of these circles.
Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.
Which of the above comes first.
Choose the correct answer from the alternatives given.
Water is flowing at the rate of $5$ km/hr through a pipe of diameter $14$ cm into a rectangular tank which is $50$ m long, $44$ m wide. The time taken (in hours) for the rise in the level of water in the tank to be $7$ cm is
What are the tools required for constructing a tangent to a circle?
Let C be the circle with centre at $(1, 1)$ and radius $=1$. If T is the circle centred at $(0, y)$, passing through origin and touching the circle C externally, then the radius of T is equal to?
The sides of a triangle are $25,39$ and $40$. The diameter of the circumscribed circle is:
The minimum number of dimensions needed to construct an equilateral triangle is:
The number of independent measurement required to construct a $\Delta$ le is
The minimum number of dimensions needed to construct a rectangle is:
The number of independent measurements required to construct a $\Delta$ is