How Do You Calculate the Radius of a Circle in a Corner?

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SUMMARY

The discussion focuses on calculating the radius of a circle that fits in the corner of a page, with specific reference to point A being 1cm from one edge and 2cm from another. Participants highlight the need for additional information and diagrams to clarify the problem. The second part of the discussion involves proving that the radius of a smaller circle is one-fourth that of two larger circles that touch at point A. The conversation emphasizes the importance of visual aids and clear problem statements in solving geometric problems.

PREREQUISITES
  • Understanding of basic geometric principles, specifically circles and tangents.
  • Familiarity with coordinate geometry and distance formulas.
  • Ability to create and interpret geometric diagrams.
  • Knowledge of the properties of similar shapes and ratios.
NEXT STEPS
  • Research the properties of tangents to circles and their implications in geometry.
  • Learn how to apply the Pythagorean theorem in geometric contexts.
  • Explore methods for constructing geometric diagrams using software like GeoGebra.
  • Study the concept of similar triangles and their applications in solving radius problems.
USEFUL FOR

Students studying geometry, educators teaching geometric concepts, and anyone interested in solving mathematical problems involving circles and tangents.

heldensheld
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I realized that I couldn't post homework in the other forum so I redirected here.

I don't have a scanner so I can't show my working out >.<.

Please help me and diagrams would be nice ;) .

A circle is drawn so that it just fits in the corner of a page. Point A is 1cm from one edge of the page and 2cm from another edge. Find the radius of the cricle.

Two circles of the same radius touch at A and have a common tangent BC. A small circle touches the larger circles and also has BC as a tangent. Prove that the radius of the small circle is 1/4 of the radius of the larger circles.

P is a point within a rectangular room ABCF. P's distance to A, B and C is 4m, 3m and 2m respectively. Find distance DP.

THANK YOU :wink:
 
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Well, if you want pictures you can draw them yourself in Paint or whatever drawing program you have. Upload them to imageshack.com and post the link here.

You have not given enough information to solve the first one. Probably you should make a picture for that one.

You should say what you have figured out so far about these problems and where your specific difficulty is.
 
heldensheld said:
A circle is drawn so that it just fits in the corner of a page. Point A is 1cm from one edge of the page and 2cm from another edge. Find the radius of the cricle.
What does point A have to do with the circle? Is it on the circle? Inside it?
 

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