The area of each sector is the amount of space on the sector
- The area of the entire region is 6.89
- The area of the double region is 0.75
- The area of the triple region is 0.46
<h3>The area of the entire sector</h3>
The area of a sector is calculated as:
A = (1/2) × r^2θ
For the entire sector, we have:
θ = π/10
r = 6.625
So, we have:
A = (1/2) × 6.625^2 × π/10
Evaluate the product
A = 6.89
<h3>The area of the double region </h3>
For the double region, we have:
θ = π/10
r = 6.25
So, we have:
A = Complete sector - (1/2) × r^2θ
A = 6.89 - (1/2) × 6.25^2 × π/10
Evaluate the difference
A = 0.75
<h3>The area of the triple region </h3>
For the triple region, we have:
θ = π/10
R = 4.125
r = 3.75
So, we have:
A = (1/2) × R^2θ - (1/2) × r^2θ
A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10
Evaluate the difference
A = 0.46
Hence, the area of the triple region is 0.46
Read more about sector areas at:
brainly.com/question/16736105