Question
If a circle is drawn through the point of concurrency of given figure, find the radius of the circle.
- 3
- 6
- 5
- 2
Hint:
Incircle is the required figure that drawn through the points of concurrency. Then, find the radius of that incircle to obtain the required radius.
The correct answer is: 3
From the figure, it is clear that P is the point of concurrency which we need to consider as the center of the circle.
So, here we get an incenter and the radius is PE.
Now from triangle CPE,
We apply Pythagorean theorem:
PE = 3 units.
>>>Therefore, the radius of the circle is 3 units.
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.
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