How is the sun hotter than fire? How can the heat travel 93 mil miles, when match heat can't go an inch?

Lol

The Sun's uses the process of fusion to generate heat energy, while a burning match generates its heat through a chemical process. Fusion and a chemical reaction both require fuel to sustain their processes. The Sun's fuel is hydrogen, of which there is enough to keep fusion going for billions of years. The primary fuel of a match is sulfur, which is exhausted almost immediately, after which the cardboard or wood that it is made out of becomes the main source of fuel.

In the process of fusion, a little under 1% of matter is converted directly into pure energy. 1% might not sound like a lot, but the Sun is so big that it actually turns 5 millions tons of its own matter into pure energy every second, and it will continue to do this for at least another 5 or 6 billion years. Rather than pure energy, the heat released by a match is heated matter: gas and soot, which rises. This is why you can place your finger an inch to the side of a match without getting burned, but can't keep it an inch ABOVE the flame for very long at all.

As for heat transfer over distance....

The Sun is actually much less efficient at transferring heat to Earth than you think. We're just lucky the Sun can generate so much of it.

Consider this: For every 2 billion photons the Sun emits, only 1 makes it to Earth. Of the photons that do make it to Earth, 30% are reflected right back out into space again. Of those that aren't reflected, only 50% make it all the way to the surface. Of the 50% that makes it to the surface, as much as half of that heat can again be lost, depending on the angles at which the photons strike (if sunlight strikes the surface at close to a 90 degree angle, such as it does at the equator, it transfers more heat into the ground, whereas much less heat is transfered at angles of 45 degrees or less, as is the case at Earth's polar regions).

That's A LOT of lost heat, but still, the Sun generates so much of it that even this little bit is enough for life to flourish on our planet. The heat released from a match, as was explained earlier, is more of a process of convection in which the gases and soot being released by the chemical process carries off the heat, which will eventually transfer that heat also by convection into the surrounding air.

There are three ways in which heat is transferred: convection, conduction, and radiation. In the absence of a surrounding medium, radiation is the only mechanism available to transmit heat from the Sun to Earth. It is transmitted by electromagnetic radiation, just like the Sun's light, and justr as efficiently. Matches are able to use all three, and can transmit heat a lot further than an inch. The temperature of the Sun's centre is 15 million K, its surface 5,778 K, its corona:  5 million K, a hell of a lot hotter than a match!

How does your brain even work? Turn on your stove top, let it get really red hot. that temperature is about 500 oC. Now put your hand over the hot plate at a distance of about 12 inches. See how long you can hold it there. The sun RADIATES heat in all directions. Heat is a form of LIGHT, it reaches earth in 8.5 minutes. It is VERY HOT. the surface of the sun (depending on what you mean by surface) is anywhere from 5000 to several million degrees C.

Hold your hand above the match and you'll feel some heat transfer more than an inch away.

A candle flame burns at about 1,700° K. The sun's surface temperature is about 5,800° K. That's only 3.4 times as hot, but energy is the 4th power of temperature, so it's actually 135 times the energy per unit area.

Light enough matches at once (be careful!) and you'll notice the heat from further away. And the Sun is HUGE.

The sun is NOT a fired, but it IS a Thermonuclear Fusion reaction.

This IS a LOT hotter than "fire", and is thus [plenty capable of treavelling 93 million miles

The radiant heat from a burning match can travel as far as the radiant heat from the Sun.

Light and heat change inversely by the square as distance changes linearly.

If the Earth were twice as far from the Sun (x2) it would receive one fourth (one over 2x2) as much heat.

This is not because of some special property of light or sound. It is a function of geometry, and the formula works for anything radiating from a central point. It works for the heat and light from the Sun, a light bulb or a candle. It works for gravity, radio transmissions and for sound (if the sound is being sent out in all directions.)

If you had a machine that shot golf balls (in space, to avoid falling to the ground) in random directions; the balls would hit a nearby object a certain number of times per hour (on average). If you moved the object twice as far away (x2), the number of hits per hour would decrease to 1/4th as many (inverse of 2x2). If you moved the object ten times as far away (x 10), the number of hits per hour would decrease to 1/100th as many (inverse of 10x10).

Radiant heat like from a radiant heater can travel all the way across the room. the surface of the sun is 10,000 F, hot

Because the heat temperature, the scale size and the distances comparing to your explanation makes sense.

the sun has nucular fusion producing energy and hardly loses any heat energy to its surrounding as it is in a vacuum where as fire needs oxygen so it loses heat energy to the atmosphere around it. for your second question ...............