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Airida [17]
3 years ago
5

For a wire with a circular cross section and a diameter = 3.00mm calculate the following: (m means meter. mm means millimeter. c

m means centimeter.) Calculate the cross sectional area in mm2. Calculate the cross sectional area in cm2
Computers and Technology
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

The cross sectional area in mm2 is 7.07mm^{2}

The cross sectional area in cm2 is 0.0707cm^{2}

Explanation:

The cross-sectional area (a) of the wire is given by;

a = \pi x \frac{d^{2} }{4}

where d is the diameter of the cross section = 3.00mm

1 => To find the cross-sectional area in mm^{2}, substitute the value of d = 3.00mm into the equation above as follows;

a = \pi x \frac{3.00^{2} }{4}

Taking \pi to be \frac{22}{7} we have;

a = \frac{22}{7} x \frac{3.00^{2} }{4}

a = 7.07mm^{2}

2 => To find the cross-sectional area in cm^{2}, first convert the diameter in mm to cm as follows;

3.00mm = 0.3cm

Now, substitute the value of d = 0.3cm into the equation above as follows;

a = \pi x \frac{0.3^{2} }{4}

Taking \pi to be \frac{22}{7} we have;

a = \frac{22}{7} x \frac{0.3^{2} }{4}

a = 0.0707cm^{2}

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