## abdul_shabeer 3 years ago A circle touches two adjacent sides of a square and divide each of the other two sides into 2cm and 23cm. Find the radius of the circle.

1. abdul_shabeer

I found this question interesting, I wanted to share it.

2. abdul_shabeer

I know the answer, i just wanted others to try it

3. jimmyrep

|dw:1330441895184:dw|

4. jimmyrep

i cant think how to do this at the moment!!

5. abdul_shabeer

A clue - Pythagoras theorem

6. jimmyrep

hhmmm - no - but is the angle at center of circle from the tangents = 90 - if my memory is correct?

7. abdul_shabeer

I didn't understand

8. jimmyrep

- not sure i do either - lol - my brains not working too well today

9. abdul_shabeer

I solved this question..

10. jimmyrep

well done - must be my age!! give me a little longer

11. jimmyrep

its too long to type here but a got an answer after several application of pythagoras i got radius = 18.1 cm

12. abdul_shabeer

13. FoolForMath

#1 "A circle touches two adjacent sides of a square" Does this imply tangents?

14. abdul_shabeer

Yes

15. abdul_shabeer

Diagram of jimmyrep is right

16. FoolForMath

Do you know the right answer?

17. abdul_shabeer

yes

18. FoolForMath

Tell us how to solve this.

19. abdul_shabeer

Ok

20. abdul_shabeer

|dw:1330512768123:dw| Then Pythagoras theorem

21. FoolForMath

Nice. :)

22. abdul_shabeer

Thanks

23. jimmyrep

lol - its so easy that way - i did it in a much more complicated way which i thought would work. maybe i made an error in the calculation. nicely done abdul