Find radius if a circle is inscribed in quadrilateral

Click For Summary
SUMMARY

The discussion focuses on determining the radius of a circle inscribed within a quadrilateral. Key insights include the relationship between the diameter and the sides of the quadrilateral, specifically noting that the diameter cannot be 22 cm when one side measures 25 cm. The conversation emphasizes the importance of understanding tangent lines and their perpendicular relationship to the radius, suggesting the construction of intermediate triangles to solve the problem effectively.

PREREQUISITES
  • Understanding of inscribed circles in quadrilaterals
  • Knowledge of tangent lines and their properties
  • Familiarity with basic geometric principles and triangle construction
  • Ability to apply the Pythagorean theorem in geometric contexts
NEXT STEPS
  • Study the properties of inscribed circles in various polygons
  • Learn about the relationship between tangents and radii in circles
  • Explore geometric constructions using compass and straightedge
  • Investigate advanced triangle properties and their applications in geometry
USEFUL FOR

Students studying geometry, educators teaching geometric principles, and anyone interested in solving problems related to inscribed circles and quadrilaterals.

amitdixit
Messages
1
Reaction score
0
:cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry:
 

Attachments

  • qstn.jpg
    qstn.jpg
    29.4 KB · Views: 663
Physics news on Phys.org
Hey amitdixit and welcome to the forums.

What have you tried? What have you already thought about?
 
you need to show some work before we can help.

To give you a hint the answer it isn't a) since the diameter would be 22cm but DC is 25cm do you see why?

Next hint is that br=bq and lines that are tangent to the circle are perpendicular to the radius drawn there so you can construct some intermediate triangles and test the other possible answers.
 

Similar threads

Finding the focal length of a converging lens with VERY limited info
  • · Replies 7 ·
Replies
7
Views
1K
DEC runtime library for Fortran in Visual studio 2022
  • · Replies 11 ·
Replies
11
Views
2K
Most probable velocity from Maxwell-Boltzmann distribution
  • · Replies 5 ·
Replies
5
Views
688
Why doesn't the tape trick work with scotch tape?
  • · Replies 3 ·
Replies
3
Views
2K
How can I find sounds or pronunciations on the Internet
  • · Replies 17 ·
Replies
17
Views
2K
Is Lagrangian Formalism the Best Approach for Analyzing Forces on a Frame?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Find the limit in question 7e and 7g?
  • · Replies 2 ·
Replies
2
Views
1K
Thermodynamics: P-V diagram question
  • · Replies 2 ·
Replies
2
Views
2K
Finding density of water and a solid material
  • · Replies 1 ·
Replies
1
Views
2K
Find Tangential Component of Acceleration and Curvature
  • · Replies 3 ·
Replies
3
Views
1K