A semicircle is drawn with ab=diameter from c,a point on ab a line is drawn perpendicular to ab meetting on the circumference f the semi circle.ac-2cm and cd=6 cm.What is the area of the circle?

• Ans is 3.14*10*10=314.15
  let x is the diameter of circle
  then AB=x
  at point C ,2cm from is a line is drwan so
  AC=2, Cb=x-2
  and disatance form C to D is 6 cm let Cd is upside of circle and there exists a point on down side circumstance say dis point as E. So
  DE=6+6=12
  from chords rule
  CD*CE=AC*CB
  CB=36/2=18
  AB=AC+CB=2+18=20
  so diameter of circle is 20 cm
  radius of circle is 10 cm
  area of circle = pi*10*10
• 10 years agoHelpfull: Yes(2) No(1)
• Correct ans is pi*50
  previously i gave for entire circle
  but correct ans is pi*50 because we have to find area of semi circle
• 10 years agoHelpfull: Yes(2) No(0)
• it is given dat ac=2,cd=6
  let o be the center of the semicircle,so od=radius of semicircle
  let radius=x=od=ao
  oc=ao-ac=x-2
  now we hv a ryt triangle cod
  using pythagors theorem
  x^2=6^2 +(x-2)^2
  x=10
  area of semicircle=pi(radius)^2/2
  =pi(10)^2/2
  =50pi
• 10 years agoHelpfull: Yes(0) No(0)