9514 1404 393
Answer:
25π/4 square meters
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.