Tag: constructions related to a circle

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Questions Related to constructions related to a circle

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

The number of independent measurement required to construct a triangle is -

  1. $3$
  2. $4$
  3. $6$
  4. $2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ans- Three measurements are necessarily required to construct a triangle.

 Whether it can be measurements of all three sides,or all three angles or both

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

The triangle formed by AB = 3 cm BC = 5 cm AC = 9 cm is__

  1. An equilateral triangle

  2. An isosceles triangle

  3. A scalene triangle

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Given,  
In $\Delta ABC$  
AB=3cm, BC=5cm and AC=9cm.
Since all sides of triangle ABC are different. So $\Delta$ ABC is a Scalene triangle.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

When constructing an inscribed regular hexagon, how will you choose the arc measurement?

  1. radius of the circle

  2. diameter of the circle

  3. chord of the circle

  4. circumference of the circle
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When constructing an inscribed regular hexagon in a circle, we choose radius of the circle as a arc measurement.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

The measure of maximum possible exterior angle in a regular polygon is 

  1. $70^o$
  2. $60^o$
  3. $90^o$
  4. $120^o$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Exterior angle of regular polygon = 180-interior angle
exterior angle is maximum when interior angle is minimum.
And we have minimum interior angle for regular triangle that is 60 degree..
So maximum exterior angle will be 180-60=120
So correct answer is Option D
Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

To construct a quadrilateral minimum of its _________ elements are required.

  1. $3$
  2. $4$
  3. $5$
  4. $2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To construct a unique quadrilateral, we will be need a minimum of $5$ dimensions.

If we have five dimensions, we can draw a side first then mark angle on both ends then we can construct a quadrilateral uniquely.
Or if we have three sides and two included angles then also we can construct a unique quadrilateral.
Unless we are constructing any one of the special quadrilaterals.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

How many equal parts you will cut the circle to draw inscribing hexagon?

  1. $4$
  2. $5$
  3. $6$
  4. $7$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Hexagon is a $6$-sided polygon.
So we will cut the circle into $6$ equal parts.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

Which tool will you use for cutting a circle into 6 equal parts?

  1. compass

  2. ruler

  3. protector

  4. divider
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We will use compass tool for cutting a circle into $6$ equal parts.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

While constructing a circle circumscribing and inscribing a regular hexagon, identify the statement true for the construction?

  1. circle outside and inside hexagon

  2. only hexagon is constructed

  3. only circle is drawn

  4. outside hexagon and inside circle
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

While constructing a circle circumscribing and inscribing a regular hexagon, the statement true for the construction is circle outside and inside hexagon.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

State true or false:
A quadrilateral is uniquely determined if any four of its elements are known.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Above statement is false.

To construct a unique quadrilateral, we will be need a minimum of 5 dimensions.
If we have five dimensions, we can draw a side first then mark angle on both ends then we can construct a quadrilateral uniquely.

Or if we have three sides and two included angles then also we can construct a unique quadrilateral.
Unless we are constructing any one of the special quadrilaterals.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

If the side of a regular hexagon is $6$ cm, then its area will be

  1. $108$ sq. cm
  2. $\dfrac {108}{3}$ sq. cm
  3. $108\sqrt {3}$ sq. cm
  4. $54\sqrt3$ sq. cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\Rightarrow$  Length of side of regular hexagon $(a)=6\,cm$

$\Rightarrow$  Area of regular  hexagon $=\dfrac{3\sqrt{3}}{2}a^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times (6)^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times 36$ 
                                 
                                                 $=54\sqrt{3}\,cm^2$