[Physics] Why the shape of rainbow is semicircular after rain why not the whole atmosphere is colorful

Question

I have a very simple question.

Everyone must have seen the rainbow after rain. According to the theory the rainbow is created due to the passing of sunlight from small drops of water in the atmosphere(means by dispersion of light).

Now my what I want to know is that after rain the rain drops are present in the entire atmosphere. So the whole atmosphere should look colorful.
Why only a semicircular shape is formed (or is colorful).

Answer 1

I will point to a reference,

it says,

Three things must happen for you to see a rainbow's colors. First, the sun must be shining. Second, the sun must be behind you, and third, there must be water drops in the air in front of you. Sunlight shines into the water drops, which act as tiny prisms that bend or "refract" the light and separate it into colors.

Actually, the rays of light bend twice. As they enter the drops, the rays of light bend, then reflect off the back of the drops. Then they bend again, this time while exiting the drops. That's when the light appears before our eyes.

Each drop reflects only one color of light, so there must be many water drops to make a full rainbow. You'll see the brightest rainbows when the water drops are large, usually right after a rain shower.

The rainbow is circular because when a raindrop bends light, the light exits the raindrop at an angle 40 to 42 degrees away from the angle it entered the raindrop.

and regarding full circular rainbow,

But if the sun is very low in the sky, either just before sunset or just after sunrise, we can see a half circle. The higher the sun is in the sky, the less we see of the rainbow.

The only way to see the full circle of a rainbow in the sky is to be above the raindrops and have the sun behind you. You would have to look down on the drops from an airplane.