A circular fountain centered within a larger circle creates a walkway around the fountain. The radius of the fountain is 3 meters and the radius of the larger circle is 10 meters. Calculate the approximate area of the walkway around the fountain. Round to the nearest tenth

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Answer:

286.24

Step-by-step explanation:

To calculate the area of the walkway around the fountain, we need to find the area of the larger circle and subtract the area of the fountain.

The area of a circle is given by the formula A=π×r².

Area of the larger circle (with radius 10 meters):

A(larger circle)=π×10²

A(larger circle)=π×100

A[larger circle] =100π

Area of the fountain (with radius 3 meters):

A(fountain)=π×(3)²

=9π

Area of the walkway:

A(walkway)=A(larger circle)−A(fountain)

A(walkway)=100π−9π

=91π

Now, we can approximate the area of the walkway:

A≈91×3.14≈286.24

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