To create a logo, an artist first draws a circle inside a square. Diameter of a circle is equal
to the side of the square. The artist wants to create a logo where the portion outside the
circle but inside the square is shaded, and sector with arc length 5.5 cm is shaded. If the area of the square is 196 cm2, the area of the shaded portion is what fraction of the total area of the logo?

• Total area of logo = area of sq.
  = 196 = 14²
  so, side of sq. is 14 cm, therefore radius of circle = 14/2
  = 7cm
  area of circle = 22/7 * 7²
  =154 cm²
  area of shaded region = area of aq. - area of circle
  = 196 - 154
  = 42 cm²
  ratio :
  area of shaded region/area of logo (area of sq.)
  =42/196
  =3/14
• 2 years agoHelpfull: Yes(4) No(2)
• Area of shaded area=(area of square-area of circle)+area of sector
  =(196-22/7*7*7)+LR/2
  =42+19.25
  =61.25
• 2 years agoHelpfull: Yes(3) No(1)
• area of the shaded portion = Area of square -Area of Circle
  therefore
  area of Circle = π r²
  here radius=7
  22/7*(49)=154
  196-154=42
  42 is the answer
• 2 years agoHelpfull: Yes(2) No(10)
• Area of the square =196
  Area of the circle =154
  Area of the sector=19.25
  shaded areas=area outside the circle+area of the sector
  so,(196-154)+19.24 =61.25
  fraction of shaded region to the area of logo ie,196 = 61.25/196
  my answer is 0.3125
• 1 year agoHelpfull: Yes(1) No(0)