design vs plan

design and plan both are nouns.

Word	Noun	Adjective	Verb	Adverb
design	Yes	No	Yes	No
plan	Yes	No	Yes	No

As nouns, design and plan are synonyms defined as:

As nouns, plan is a hypernym of design; that is, plan is a word with a broader meaning than design:

Other hypernyms of design include program, programme.

As verbs, design and plan are synonyms defined as:

Other synonyms of design include contrive, project.

design (noun)	plan (noun)
the act of working out the form of something (as by making a sketch or outline or plan)	scale drawing of a structure
a decorative or artistic work	a series of steps to be carried out or goals to be accomplished
a preliminary sketch indicating the plan for something	an arrangement scheme
the creation of something in the mind
an arrangement scheme
something intended as a guide for making something else
an anticipated outcome that is intended or that guides your planned actions

design (verb)	plan (verb)
plan something for a specific role or purpose or effect	make plans for something
intend or have as a purpose	have the will and intention to carry out some action
create the design for; create or execute in an artistic or highly skilled manner	make or work out a plan for; devise
make or work out a plan for; devise
create designs
conceive or fashion in the mind; invent