**Core Concept**
The right gastroepiploic artery is a branch of the gastroduodenal artery that supplies the stomach and greater omentum. It plays a crucial role in the arterial supply of the stomach, particularly in the region of the greater curvature.

**Why the Correct Answer is Right**
The right gastroepiploic artery arises from the gastroduodenal artery, which is a branch of the common hepatic artery. This artery then descends along the greater curvature of the stomach, anastomosing with the left gastroepiploic artery to form a collateral circulation. This anastomosis is clinically important as it provides an alternative route for blood flow to the stomach in case of obstruction of one of the gastroepiploic arteries.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect as the right gastroepiploic artery does not arise from the splenic artery, which instead gives off the left gastroepiploic artery.
**Option B:** This option is incorrect as the right gastroepiploic artery does not arise from the superior mesenteric artery, which primarily supplies the midgut.
**Option D:** This option is incorrect as the right gastroepiploic artery does not arise from the coeliac trunk, which gives off the left gastric artery, the splenic artery, and the common hepatic artery.

**Clinical Pearl / High-Yield Fact**
The right gastroepiploic artery is a key landmark in laparoscopic cholecystectomy, as it can be used to identify the location of the common bile duct and the cystic artery.

**Correct Answer:** C.