Answer:
33%
Step-by-step explanation:
This question involves working with areas.
The area of a circle is πr².
With this in mind, let's proceed to label our circles.
From order of smallest to largest, we'll label them A, B and C.
Area for circle A = π(4)² = 16π
Area for circle B = π(4+3)² = π7² = 49π
Area for circle C = π(4+3+3)² = π10² = 100π
Now let's label the rings.
The blue shaded area will be ring K and the outer, larger, ring, L.
To find the area of ring L, we must subtract the area of B from C.
L = C - B
L = 100π - 49π
L = 51π
Now to find the area of ring K, we'll subtract the area of our circle A, and our ring L.
K = C - A - L
K = 100π - 16π - 51π
K = 33π
We now know that the blue shaded area has a total area of 33π. We also know that the full area of the logo is the same area of Circle C, 100π. To find the percentage, we simply divide.
Percentage of K = [tex]\frac{K}{C}[/tex]
Percentage of K = [tex]\frac{33\pi}{100\pi}[/tex]
Percentage of K = [tex]\frac{33}{100}[/tex]
Percentage of K = 33%
