The arm of a ceiling fan measures a length of 25 in. What is the area covered by the motion of the fan blades when turned on?

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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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.

 is the area of a circle.  If the radius is 25 inches and pi is 3.14, then

 and

A = 3.14(625) so

A = 1962.5 inches square.

In terms of pi, the area is

A = 625π

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get