Answer:
% area of the shaded region = 33%
Step-by-step explanation:
Radius of the middle circle = 7 cm
Radius of the inner circle = 4 cm
Area of the middle circle = πr²
= π(7)²
= 49π
Area of the inner circle = π(4)²
= 16π
Area of the shaded region= 49π - 16π
= 33π
Area of the outermost circle = π(10)²
= 100π
% area of the shaded region = [tex]\frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100[/tex]
= [tex]\frac{33\pi }{100\pi }\times 100[/tex]
= 33%
Therefore, area of the shaded region is 33% of the complete logo.
