Question

A circle touches all sides of a parallelogram. So the parallelogram must be a,................... Choose the correct alternative.
(A) rectangle
(B) rhombus
(C) square
(D) trapezium

Answer 1

If all the sides of a parallelogram touch a circle, show that the parallelogram is rhombus.

Its b option....

Answer 2

Hello Sarthak,

● Answer -
A circle touches all sides of a parallelogram. So the parallelogram must be a *rhombus/square*.


● Explanation -
- For a circle to touch all sides of the parallelogram, length of all sides must be equal.
- Parallelogram with all sides equal can be either rhombus or moreover square too.
- Therefore, a circle will touch all sides of rhombus/square from the inside.


Thanks for the question dear..