The core is necessary for a star's existence, it's the engine that keeps it from collapsing. When this engine runs out of fuel or its fuel vanishes, gravity overcomes and contracts the star until matter from the radiative zone is compressed enough to start fusing hydrogen again to counterbalance gravity.
core and radiation
The core of the sun is so important to because with out the core will be hot
By nuclear fusion of hydrogen nuclei into helium nuclei, in the core.
nothing would happen, the sun is constantly going through nuclear reactions
If the core of the sun didn't exist we would be in some sort of weird parallel universe where the laws of physics were radically different. If you somehow managed to magically remove the core of the sun from existence, everything outside the core would collapse into the center of your (now hollow) sphere and form a new core and your sphere would be smaller. Depending on how much mass you removed, Earth's orbit might be screwed up enough to send us either flying off into space (so that we freeze to death, very bad) or hurtling into the sun (planet would be incinerated, also bad). You could also cause a massive decrease in the amount of heat the sun would be giving off. Either way, should you happen to gain the above mentioned magical powers, unless you are also immortal and don't mind having no one to talk to for eternity I would highly recommend against using them. =)
core and radiation
Only at the core, where the temperatures and pressures are high enough.
If you are asking where does solar nuclear fusion take place, then that would be at the core of stars.
The core of the sun is so important to because with out the core will be hot
By nuclear fusion of hydrogen nuclei into helium nuclei, in the core.
nothing would happen, the sun is constantly going through nuclear reactions
The core just means the centre. Therefore, the core of the Sun is in the centre of the Sun.
If the core of the sun didn't exist we would be in some sort of weird parallel universe where the laws of physics were radically different. If you somehow managed to magically remove the core of the sun from existence, everything outside the core would collapse into the center of your (now hollow) sphere and form a new core and your sphere would be smaller. Depending on how much mass you removed, Earth's orbit might be screwed up enough to send us either flying off into space (so that we freeze to death, very bad) or hurtling into the sun (planet would be incinerated, also bad). You could also cause a massive decrease in the amount of heat the sun would be giving off. Either way, should you happen to gain the above mentioned magical powers, unless you are also immortal and don't mind having no one to talk to for eternity I would highly recommend against using them. =)
it would increase
the sun's core is the hottest part of the sun
Nothing would happen if the moon was on the left and the sun on the right. The moon and sun are often on different sides of the earth.
The sun would win.