Mathematics
Grade9
Easy

Question

In the given figure,   , a person must start from home and reach school, grocery store and reach home. The road is in a circular path.
Which concept is used to solve this problem?

  1. Angle bisector
  2. Perpendicular bisector
  3. Point of concurrency
  4. Incenter

hintHint:

As we have to calculate the perimeter of circular path we will use the concept of incenter.

The correct answer is: Incenter


    The incenter concept is used to solve this problem.

    Related Questions to study

    Grade9
    Mathematics

    In the given figure, what is the point of concurrency?

    In the given figure, what is the point of concurrency?

    MathematicsGrade9
    Grade9
    Mathematics


    In the given figure, what is the perimeter of PDE?


    In the given figure, what is the perimeter of PDE?

    MathematicsGrade9
    Grade9
    Mathematics

    Find x. 

    Find x. 

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Find x.

    Find x.

    MathematicsGrade9
    Grade9
    Mathematics

    Find x.

    From angle bisector theorem, x = 22 to the power of o
    >Therefore, the value of x is 22 degrees.

    Find x.

    MathematicsGrade9

    From angle bisector theorem, x = 22 to the power of o
    >Therefore, the value of x is 22 degrees.

    Grade9
    Mathematics

    In the given figure P is the incenter, find PD

    To obtain the radius of the incircle, we know that the points D, E, F are the perpendicular bisector points. Hence, the angle must be 90 degrees. We can now apply Pythagorean theorem to obtain the unknown values.

    In the given figure P is the incenter, find PD

    MathematicsGrade9

    To obtain the radius of the incircle, we know that the points D, E, F are the perpendicular bisector points. Hence, the angle must be 90 degrees. We can now apply Pythagorean theorem to obtain the unknown values.

    parallel
    Grade9
    Mathematics

    If a circle is drawn through the point of concurrency of given figure, find the radius of the circle.

    The points of concurrency are D, E, F then P becomes the center of the circle and that circle generally called as a incircle of a triangle. Radius of incircle can be found easily applying the Pythagorean theorem to any one of the triangle.
    >>>>table attributes columnspacing 1em end attributes row cell C P squared equals C E squared plus P E squared end cell row cell 5 squared equals 4 squared plus P E squared end cell row cell 25 equals 16 plus P E squared end cell row cell 25 minus 16 equals P E squared end cell row cell P E equals square root of 9 end cell end table
    >>>PE = 3 units.

    If a circle is drawn through the point of concurrency of given figure, find the radius of the circle.

    MathematicsGrade9

    The points of concurrency are D, E, F then P becomes the center of the circle and that circle generally called as a incircle of a triangle. Radius of incircle can be found easily applying the Pythagorean theorem to any one of the triangle.
    >>>>table attributes columnspacing 1em end attributes row cell C P squared equals C E squared plus P E squared end cell row cell 5 squared equals 4 squared plus P E squared end cell row cell 25 equals 16 plus P E squared end cell row cell 25 minus 16 equals P E squared end cell row cell P E equals square root of 9 end cell end table
    >>>PE = 3 units.

    Grade9
    Mathematics

    Find MP in the given figure.

    Always angular bisector divides the given angle into 2 equal parts. Then, by equalizing the the two equations we can get the measure of angles easily.

    Find MP in the given figure.

    MathematicsGrade9

    Always angular bisector divides the given angle into 2 equal parts. Then, by equalizing the the two equations we can get the measure of angles easily.

    Grade9
    Mathematics

    Find ∠DAC in the given figure.

    For such questions, we should know the properties of the angle bisector.

    Find ∠DAC in the given figure.

    MathematicsGrade9

    For such questions, we should know the properties of the angle bisector.

    parallel
    Grade9
    Mathematics


    Identify the theorem used to solve the problem.


    Identify the theorem used to solve the problem.

    MathematicsGrade9
    Grade9
    Mathematics

    In a scalene triangle, the incenter lies ____.

    In a scalene triangle, the incenter lies ____.

    MathematicsGrade9
    Grade9
    Mathematics

    If P is equidistant from all the sides of the triangle ABC, then a circle drawn with P as the center touching all the sides, then the center of the circle is also called ______.

    For such questions, we should know about the different centers of the circle and triangle.

    If P is equidistant from all the sides of the triangle ABC, then a circle drawn with P as the center touching all the sides, then the center of the circle is also called ______.

    MathematicsGrade9

    For such questions, we should know about the different centers of the circle and triangle.

    parallel
    Grade9
    Mathematics

    From the given figure,

    Find the relation between P and ∠NOM.

    From the given figure,

    Find the relation between P and ∠NOM.

    MathematicsGrade9
    Grade9
    Mathematics

    From the given figure, if BD ⊥ AB, DC ⊥ AC, then find the relation between BD and DC.

    From the given figure, if BD ⊥ AB, DC ⊥ AC, then find the relation between BD and DC.

    MathematicsGrade9
    Grade9
    Mathematics

    Direction : Among given options only for this figure perpendicular bisector theorem is used.


    If AD = 8 units, find BD.

    the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle

    Direction : Among given options only for this figure perpendicular bisector theorem is used.


    If AD = 8 units, find BD.

    MathematicsGrade9

    the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.