Geometrical properties of circle

Click For Summary

Homework Help Overview

The discussion revolves around the geometrical properties of circles, specifically focusing on angles related to segments and triangles within a circle. The original poster seeks assistance with part (ii) of a problem involving angle calculations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster presents their attempts at calculating angles based on properties of circles, such as angles in the same segment and exterior angles of triangles. Some participants suggest introducing a point related to the circle's center to clarify the problem.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. A hint has been provided regarding the introduction of a center point, which may guide further exploration of the geometrical relationships involved.

Contextual Notes

There appears to be some confusion regarding the labeling of points and angles, which may affect the clarity of the discussion. The original poster specifically mentions difficulty with part (ii), indicating a potential gap in understanding that is being addressed through collaborative inquiry.

LiHJ
Messages
43
Reaction score
2
DSC_0008.JPG

Homework Statement


Dear Mentors/PF helpers,

Please help me with part (ii), I couldn't find a way through this part.
DSC_0008.JPG


Homework Equations




The Attempt at a Solution


My solutions:
(i) angle RPS = 65 deg (angles in the same segment are equal)

(iii) angle PRS = 110 - 65 = 45 ( exterior angle of triangle PSR equal two interior angles)
angle PQS = angle PRS = 45 (angles in the same segment are equal)
 
Physics news on Phys.org
Hint: Introduce the point C as center of the circle XPS to use the "touching" information.
 
DSC_0011.JPG
 
CSP should be PSC.

That is the same result I got.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
11
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
12
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
3
Views
4K
  • · Replies 5 ·
Replies
5
Views
10K