Roast red pepper following stove top or grill method. Or, roast in broiler at 500° F until charred, turning frequently for about 10 minutes. Remove from stove or oven and let cool. Remove skin, seeds, and membranes, and pat dry with a paper towel. Coarsely chop pepper.
Add chickpeas, roasted red pepper, garlic, spices, tahini, and olive oil to a food processor or high-speed blender and blend until smooth. If too thick add water 1 tablespoon at a time until desired consistency. Season with salt and pepper, as desired.