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Area of Geometric Shapes

The area of a geometric shape is a property that describes how much space it takes up.

Regular geometric shapes like circles, parallelograms and triangles have simple formulas that give their area.

The area of irregular shapes can sometimes be computed by reducing it into several regular shapes.

Some common area formulas:

For triangles: Area = (h x b) /2

Area of Triangle in Geometry

For rectangles: Area = h x w

Area of Geometric Shapes

Since a square is a special type of rectangle, its area is given by the same formula. But since in the square's case the width is the same as the hight, this becomes Area = a x a = a2

Geometry Square Area

A circle's area is given by the formula Acircle=π*r2

Geometry: area of a circle

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

Area of a Heart Shape

Area of a Heart Shape

circle passing through non-shared vertices

A Square and an Equilateral Triangle, in a Circle

Plant area

Geometry Word Problems with Distance

area of trapezoid with median

Area of a Trapezoid with Median

Parallelogram with diagonals and side lengths

Find the area of a parallelogram using diagonals

Right Triangle

Area of a Right Triangle

rhombus with diagonals

Area of Rhombus

Parallelogram with diagonal lengths and side length

Area of Parallelogram Given Diagonals and a Side

Ratio of Areas of Triangles With the Same Height

semicircle

Area of Semicircle

triangles with same base

Finding the Ratio of Triangle Areas With the Same Base

diagonals of kite

Area of a Kite

find the area of the shaded region

Find the Area of the Shaded Region

find the area of a circle from 3 points

Find the Area of a Circle from 3 Points

circle inscribed in equilateral triangle

Equilateral Triangle: Find its Area from the Radius of an Inscribed Circle

area of an irregular shape

Area of an Irregular Shape

rhombus with a 60° angle

Area of a Rhombus with a 60° angle

Area of similar triangles

Area of Similar Triangles

Geometry drawing: area of a parallelogram

Area of a Parallelogram

Area of trapezoid

Area of a Trapezoid

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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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