The Hillsboro Inlet Lighthouse Lights Up How Much More Area Than The Jupiter Inlet Lighthouse? Round Your Answer To The Nearest Tenth. Jupiter Inlet L

The Hillsboro Inlet Lighthouse lights up how much more area than the Jupiter Inlet Lighthouse? Round your answer to the nearest tenth. Jupiter Inlet Lighthouse- 18 miles. Hillsboro Inlet Lighthouse- 28.

 

Answer:

The Hillsboro Inlet lighthouse lights up 1444.4 miles² more area than Jupiter Inlet lighthouse.

Step-by-step explanation:

Radius:

Hillsboro Inlet Lighthouse: 28 miles

Jupiter Inlet Lighthouse: 18 miles

The lighthouse lights up an area in circle.

Area of circle = πr²

Where:

π ≈ 3.14

r ⇒ radius

Area each lighthouse covers:

Hillsboro, with 28-mile radius:

Area = (3.14)(28 miles)²

= (3.14)(784 miles²)

≈ 2,461.76  or  2,461.8 miles²  

Jupiter Inlet Lighthouse with 18-mile radius:

Area = (3.14)(18 miles)²

= (3.14)(324 miles²)

≈ 1,017.36 or 1,017.4 miles²

Solve for the area difference to find how much more area the Hillsboro lights up than Jupiter lighthouse:

Area difference = 2,461.8 miles²  - 1,017.4 miles²

Area difference = 1,444.4 miles² (in nearest tenth)

The Hillsboro Inlet lighthouse lights up 1444.4 miles² more area than Jupiter Inlet lighthouse.


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