Respuesta :

Answer:

Step-by-step explanation:

When a ceiling fan is turned on it sweeps out a circle.  That means that this question is asking us to find the area of the circle with a radius of 25 inches.

[tex]A=\pi r^2[/tex]  is the area of a circle.  If the radius is 25 inches and pi is 3.14, then

[tex]A=(3.14)(25)^2[/tex]  and

A = 3.14(625) so

A = 1962.5 inches square.

In terms of pi, the area is

A = 625π

The area covered by the motion of the fan blades when turned on is 625π².

In order to solve the question, were going to use the formula for area of a circle which will be:

= πr²

Therefore, the solution will be:

= πr²

= (25)²π

= 625π

Therefore, the area covered by the motion of the fan blades when turned on is 625π.

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