If ABC is a quarter circl
e and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle

• if r be radius of smaller circle then
  distance b/n centres = √2 * r
  
  so, r + r√2 = R here,R = 1.414 =√2
  => r=(√2 -1)R
  
  r = 0 .586 unit
• 8 years agoHelpfull: Yes(25) No(7)
• how the distance between the centres become sqrt(2).r...............?
  
• 8 years agoHelpfull: Yes(3) No(4)
• The distance of the center comes as the tangnt to the cirlce always make 90 deg so from hypt thrm 2pow1/2 +2pow1/2= 2*2pow1/2 how it is come
• 8 years agoHelpfull: Yes(1) No(2)
• .585
  r2 + r2 = (R-r)2
• 8 years agoHelpfull: Yes(1) No(3)
• http://www.examveda.com/if-abc-is-a-quarter-circl-e-and-a-smaller-circle-is-inscribed-in-it-if-radius-of-quarter-circle-is-1414units-find-the-radius-of-smaller-circle-1465/
• 8 years agoHelpfull: Yes(1) No(0)
• distance btw center of small circle (r) and big circle (R)=R*r
  =√2 * r
  
• 8 years agoHelpfull: Yes(0) No(0)