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?

Mathematics

1 answer:

ziro4ka [17]2 years ago

3 0

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

Step-by-step 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,

$=\pi (25)^{2}$

$=\pi (625)$

$=(\frac{22}{7} )(625)$

= 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.

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