How many lines of symmetry are there in a circle?

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None of these

answer is D.

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Detailed Solution

We have been given a circle.
File:Circle - black simple.svg - Wikimedia Commons

We know that a circle has an infinite number of diameters. Also, a circle is symmetrical about each diameter.
Since a circle has an infinite number of diameters, therefore, a circle has an infinite number of lines of symmetry.

https://lh4.googleusercontent.com/TcY1eUPQLVM3eL5nH6K_BZmParxen-E6aukTpncZa0A39OzqUUuk7QG7Sx-FvfE9xM9_vaeGHrRrVuYPoWmfHGiP_FLdXkX0dMCHvue-PlxGSNlH4KbABiDD4SjpjYsPKUJG1UzcXgc2x4jVA7xlAA

Therefore, a circle has an infinite number of lines of symmetry.
Hence, option (4) is the correct option.

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