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Inscribed Shapes

Many geometry problems deal with shapes inside other shapes. For example, circles within triangles or squares within circles.

The inner shape is called "inscribed," and the outer shape is called "circumscribed."

When a circle is inscribed inside a polygon, the edges of the polygon are tangent to the circle.

Inscribed Shapes In Geometry

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Now that we've explained the basic concept of inscribed shapes in geometry, let's scroll down to work on specific geometry problems relating to this topic.

Two Circles Inscribed in a Square

Two Circles Inscribed in a Square

circle inscribed in a quadrilateral

Circle Inscribed in a Quadrilateral

Circle inscribed in a square

A Circle Inscribed in a Square

Square Inscribed in a Circle

Square Inscribed in a Circle

kite in a circle

Kite Inscribed in a Circle

perp bisectors

Circumscribed Circle

circle inscribed in equilateral triangle

Area of a Circle Inscribed in an Equilateral Triangle

Inscribed triangle with diameter

Radius of a Circle with an Inscribed Triangle

Geometry shape: diamond with diagonals

Inscribed Shapes: Opposing Angles of a Quadrangle Inscribed in a Circle

Geometry shape of a polygon inscribed in a circle

Polygon Inscribed in a Circle

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About

Welcome to Geometry Help! I'm Ido Sarig, a high-tech executive with a BSc degree in Computer Engineering and an MBA degree in Management of Technology. I'm here to tell you that geometry doesn't have to be so hard! My goal with this website is to help you develop a better way to approach and solve geometry problems, even if spatial awareness is not your strongest quality. Read More…

Geometry Topics

  • Area of Geometric Shapes
  • Circles
    • Arcs, Angles, and Sectors
    • Chords
    • Inscribed Shapes
    • Tangent Lines
  • Lines and Angles
    • Intersecting Lines and Angles
    • Parallel Lines
    • Perpendicular lines
  • Pentagons and Hexagons
  • Perimeter of Geometric Shapes
  • Polygons
  • Quadrangles
    • Kites (Deltoids)
    • Parallelograms
    • Rectangles
    • Rhombus
    • Squares
    • Trapezoids
  • Triangles
    • Congruent Triangles
    • Equilateral Triangles
    • Isosceles Triangles
    • Pythagorean Theorem
    • Right Triangles
    • Similar Triangles
    • Triangle Inequalities

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