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sergeinik [125]
2 years ago
9

A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or

Mathematics
1 answer:
Nikitich [7]2 years ago
8 0

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

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