The ratio of the area of a sector of a circle to the area of the circle is 1 : 4. If the area of the circle is 154 cm2, the perimeter of the sector is

• Area of sector of a circle=(Angle of the sector/360)*pi*r*r
  Ratio=1:4
  1/4=Theta/360(since theta/360*Area of the circle/Area of circle)
  theta=90(theta=360/4)
  And thus
  the radius of the circle
  22/7*r*r=154
  r=sqrt(154/(22*7))
  r=sqrt(22*7*7/22)
  r=7
  the perimeter of the sector
  2r+(theta/360)*2*pi*r=14+11
  =25
• 7 years agoHelpfull: Yes(0) No(0)