1) The area of a circle is given by

where r is the radius of the circle. In this problem, we are told that the area is

so we can rearrange the previous equation to calculate the radius:

And now we can find the circumference, by using the formula:

Therefore, the correct answer is D. 75.3984 meters.
2) The volume of a cube is given by:

where L is the length of the edge. In this problem, L=6 cm, therefore the volume of the cube is

and so, the correct answer is A. 216 cu. cm.
Explanation:
A transformer consists of core of soft iron (a material that can be easily magnetized/demagnetized), to which two coils are attached at both ends.
An alternating current in the primary coil produces a magnetic field around the coil, magnetizing the iron core; therefore, the same magnetic field produces a magnetic flux in the secondary coil.
Since the AC current in the primary coil is variable, then the magnetic field also changes, so the magnetic flux through the secondary coil changes over time; therefore, an electromotive force (and so, a current) is induced in the secondary coil, according to Faraday-Newmann-Lenz:

where
is the induced emf
is the rate of change of magnetic flux through the secondary coil
We notice that this mechanism would not work if the current in the primary coil is a DC current: in fact, a DC current has always a constant value, so there is no change in the magnetic field, therefore no change in the magnetic flux through the secondary coil and no emf induced.
<span>As the volume of gold is
Volume = mass/ density
V = </span>0.0512g / 19.31gcm^−3
=0.0026
Volume of gold = L. W. T
0.0026 = 52.22 * 13.22 * T
Thickness T = 0.0026 / 690.43
T= 3.7 * 10^-6
Answer:
It is made up of iron, steel or any other ferromagnetic substance or ferromagnetic composite, having permanent magnetic properties. The magnet has two poles: a north and a south pole. When you suspend it freely, the magnet aligns itself so that the north pole points towards the magnetic north pole of the earth.