Google Geometry

Geometry Level 2

What is the area ( white space doesn't count ) of the figure if

  • r y r_{y} = 8

  • r b r_{b} = 4

  • δ w \delta_{w} = 2

  • π \pi = 3.14


The answer is 138.16.

Fedor Panafidin by Fedor Panafidin , 19, Belgium

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1 solution

→Let the Radius of big circle be R R and blue circle be r r .
•The area of big circle (radius 8)= π × R 2 \pi×R^2 = 3.14 × 8 2 3.14×8^2 = 200.96 200.96 .
•The area of blue circle (radius 4)= π × r 2 \pi×r^2 = 3.14 × 4 2 3.14×4^2 = 50.24 50.24 .
•The area of white circle , including blue ( radius 4+2=6)= π × r 2 \pi×r^2 = 3.14 × 6 2 3.14×6^2 = 113.04 113.04 .
•Now, area which is not needed that is white portion= 113.04 − 50.24 113.04-50.24 = 62.8 62.8 .
•Now total area without white portion= 200.96 − 62.8 200.96-62.8 = 138.16 138.16 .


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