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?
- Angle bisector
- Perpendicular bisector
- Point of concurrency
- Incenter
Hint:
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
In the given figure, what is the point of concurrency?
In the given figure, what is the point of concurrency?
In the given figure, what is the perimeter of PDE?
In the given figure, what is the perimeter of PDE?
Find x. 
Find x.
Find x.
Find x.
Find x.
From angle bisector theorem, x = 
>Therefore, the value of x is 22 degrees.
Find x.
From angle bisector theorem, x =
>Therefore, the value of x is 22 degrees.
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
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.
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.
>>>>
>>>PE = 3 units.
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.
>>>>
>>>PE = 3 units.
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.
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 ∠DAC in the given figure.
For such questions, we should know the properties of the angle bisector.
Find ∠DAC in the given figure.
For such questions, we should know the properties of the angle bisector.
Identify the theorem used to solve the problem.
Identify the theorem used to solve the problem.
In a scalene triangle, the incenter lies ____.
In a scalene triangle, the incenter lies ____.
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 ______.
For such questions, we should know about the different centers of the circle and triangle.
From the given figure,
Find the relation between P and ∠NOM.
From the given figure,
Find the relation between P and ∠NOM.
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.
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.
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.
