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Answer :

9514 1404 393

Answer:

  25π/4 square meters

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius of the circle.

The radius is half the diameter, so is (1/2)(5 m) = 5/2 m. Using this in the area formula, we find the area to be ...

  A = π(5/2 m)² = (25/4)π m²

The area of the circle is 25π/4 square meters.

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As a decimal, that is 6.25π square meters.

Answer:

A = 6.25π

Step-by-step explanation:

Area of a circle:

A = πr²

Given:

d = 5

To find r, divide d by 2:

r = d/2

r = 5/2

r = 2.5

Area of a circle:

A = πr²

A = π2.5²

A = 6.25π