#finding area

Area of a Rhombus

Let’s look at a couple of problems that go over finding the area of a rhombus. A rhombus is a quadrilateral that also has the following properties,

•             A parallelogram with four congruent sides

•             Diagonals are perpendicular and bisect a pair of opposite angles

•             Diagonals are not congruent

Problem 1 Find the area of a rhombus that has a side of 12 units and a height of 10 units

Step 1. The area formula equal’s base x height. (Please note: The height is not the side but is altitude)

Step 2. Plug in your numbers 12 x 10 = 120 square units

Let’s looks at a little more challenging problem

Problem 2 Fine area of a rhombus that has diagonal that measures 10 units and the other diagonal measures 14 units.

Step 1. Use the formula for the area of a rhombus  1/2d1* d2   where d = the diagonal length

Step 2 Plug in your numbers ½ (10 *14)

            ½ *(140) = 70 units squared equals the area of the rhombus

Equation of a circle: 

Area is 

Written in terms of angles and radii:

, 

, 

New Bounds

integrate: 

 and