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The shape of rainbow is half curve circle with lots of colors. This is what I have know rainbow's shape to be all my as a kid, teenager and now as an adult. 

It has never changed. 
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Rainbows are actually full circles. The antisolar point is the center of the circle.

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Short answer:

Rainbows are seen in 2 shapes,namely

  • Semi circular (Most of the times)
  • Circular as a halo rainbow around the sun

Explanation

Semi circular rainbow

Semi circular rainbow

To view this kind of rainbow one must have their back facing the sun and must be approximately positioned at an angle of 40 degrees w.r.t the rainbow formation.The sun rays falling on the water droplets which act as prism refract and reflect back the rays to your eyes.

Representation of Rainbow formation
A man observing the rainbow is standing at 40 degrees to the rainbow formation

Circular rainbow(Halo rainbow)

At the Himalayas around sun

This kind of rainbow is optical phenomena formed due to millions of tiny ice crystals refracting the sunlight or moonlight. The radius of such rainbows is approximately 22 degrees.

Around moon

Post scriptum: Suggestions are most welcome :)

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I added the images but they aren't appearing i the answer.Will answer without adding images from next time.
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I have never had the privilege to study the space or anything that is related to space like the stars, the moon, the sun and other planets which we know to be in existence today.


The same thing can be said for me when it comes to studying and knowing more about the rainbow. I have only looked at the rainbow with my bare eyes whenever it comes up in the sky probably after a heavy rainfall.


From what my eyes could see very high up in the sky about the shape of rainbow, I would say that it's half curve circled shape. I don't think that I have ever seen a rainbow that is not pictured with this exact same shape ever since my childhood. Maybe there is more to the shape of rainbow but I can't really be sure because I haven't looked at the rainbow using a telescope.
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The Rainbow is circular because when a raindrop bend light, the light exit the raindrop at an angle 40 to 42 degrees away from the angle it entered the raindrop. 
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In actuality, a rainbow is a whole circle. The antisolar point sits at the center of the circle. Observers in flight can infrequently see these spherical rainbows.
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The rainbow is an arc shape in the sky.

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The rainbow is a circular arc of light that appears in the sky when the sun shines onto raindrops in the air. The shape of the rainbow is a segment of a circle, with the center of the circle being directly opposite the sun. The arc of the rainbow appears to rise from the ground and arch across the sky, with the colors red, orange, yellow, green, blue, indigo, and violet appearing in sequence from top to bottom. The exact shape and size of the rainbow can vary depending on the observer's location and the position of the sun.
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a rainbow is a circle with its center appearing to be below the observer's horizon and a radius of approximately 42 degrees. The arc of the circle is formed by the refraction and dispersion of sunlight in water droplets in the air.
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The shape of the rainbow is a mixture of colors, with some colors being larger than others. The rainbow is made up of colors that are either The colors seen when looking into the sun and/or through the sky.
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From what I know and been taught since childhood teenage age and till now I know that the rainbow is semi cycle in its shape and has so many beautiful colours 
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The shape of a rainbow is a circular arc. When we observe a rainbow from the ground, we typically see a semicircular band of colors extending across the sky. This circular appearance is a result of light being refracted and reflected within raindrops, causing the dispersion of different wavelengths and the formation of a distinctive arc shape. However, it's important to note that a full rainbow is actually a complete circle, but the lower half is typically obscured by the ground. In certain conditions, such as from an elevated viewpoint or in the sky, the full circular shape of a rainbow can be visible.
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