Longman Dictionary of Contemporary English
Wiktionary
a. arrogant, having an exaggerated perception of one's qualities.
Usage examples of "big-headed".
It was a spectacle to stir the dullest soul when this gallant band marched out of the yard in full regimentals, with Captain Dove a solemn, big-headed boy of eleven issuing his orders with the gravity of a general, and his Falstaffian regiment obeying them with more docility than skill.
Wave after wave of the swarthy, fur-clad, stinking riders on their shaggy, big-headed ponies had crisscrossed the lands, each horde trailed by a heterogeneous collection of carts, waggons, wains, pack beasts, and coffles of chained, brutalized, and terrified slaves, folk of all stations and both sexes, for the primitive Kalmyks did not recognize the practice of ransoming war captives.
Robert Cecil, Earl of Salisbury, big-headed and dwarf-bodied, stood with his hunchback turned to the great seacoal fire.
They sailed silently over a herd of long-horned bison that straggled for what Arsen computed to be over four statute miles, with bands of the small, big-headed, shaggy horses grazing among the huge, dark-colored bovines.
Low-caste Thangs and a squat, big-headed variety of Gray peered forth from the doorways as Reith and Cauch went past.
When a child like that dies, instead of having a silly book written about him, he should be stuffed like one of those awful big-headed fishes you see in museums.
I unfastened my seat belt, rose, glanced at Maggie and Belinda without expression or recognition and headed for the exit while the plane was still moving, a manoeuvre frowned upon by the airline authorities and certainly, in this case, by other passengers in the plane whose expressions clearly indicated that they were in the presence of a big-headed and churlish boor who couldn't wait to take his turn along with the rest of long-suffering and queueing mankind.
There was a squat, heavy, ganuille-like beast with an incongruous nest of blunt horns sprouting above its nostrils, and small, frisky, stiff-tailed tawny animals with dainty, fragile legs, and slow-moving big-headed browsers nibbling on the unpromising saw-edged reddish grass that grew here, and paunchy, jowly, furry creatures with ominous crests of spikes along their spines, creatures that walked upright and, judging by the way they paused in their wanderings to contemplate the stranger in their midst, might very well be at the same level of mental ability as the poriphars, or even beyond it.