Question

which shape is inscribed in a circle?
hexagon
obtuse triangle
equilateral triangle
right triangle

Explanation:

Step1: Recall Inscribed Shape

A shape inscribed in a circle has all its vertices on the circle. The given figure is a triangle with all vertices on the circle.

Step2: Analyze Options

• Hexagon: The figure is a triangle, not a hexagon. Eliminate.
• Obtuse triangle: The triangle in the circle has all sides equal (visually), so not obtuse. Eliminate.
• Equilateral triangle: The triangle has all sides equal (from the diagram), and all vertices on the circle, so it's an equilateral triangle inscribed in the circle.
• Right triangle: A right triangle inscribed in a circle has the hypotenuse as the diameter, but this triangle doesn't show that. Eliminate.

Answer:

Equilateral triangle (the option: Equilateral triangle)