Question

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?

Answer 1

The area of 1963.46 square inches covered by the motion of the blades when turned on.

Explanation:

The given is,

The arm of a ceiling fan measures length of 25 inches.

Step:1

When the fan turned on it makes a rotation of blades. It is in the circular form.

Formula to calculate the area of circle,

`A= \pi r^(2)`...................................(1)

Where, r - Radius of circle

From the given values,

Length of fan arm = r = 25 inches

Equation (1) becomes,

`=\pi (25)^(2)`

`=\pi (625)`

`=((22)/(7) )(625)`

= 1963.49

= 1963.49 square inches

Area covered by fan = 1963.49 square inches

Result:

The area of 1963.46 square inches covered by the motion of the blades when turned on.