**Perimeter :**

Perimeter is a path that surrounds a two dimensional shape. The term may be used either for the path or its length it can be thought of as the length of the outline of a shape.

**Circumference :**

The perimeter of a circle or ellipse is called its circumference. In other words, the distance around the edge of a circle or any curvy shape.

**Area : **

Area of an object is defined as the space occupied by the object on a flat surface. The area of a shape can be measured by comparing the shape to squares of a fixed size.

Formulas for the perimeter P, area A, circumference C of some common figures are given below.

**SQUARE : **

**RECTANGLE :**

**TRIANGLE :**

**CIRCLE :**

The measurements of perimeter and circumference use units such as centimeters, meters, kilometers, inches, feet, yards, and miles. The measurements of area use units such as square centimeters (cm²), square meters(m²), and so on.

**Example 1 : **

Find the perimeter and area of a rectangle of length 12 inches and width 5 inches.

**Solution :**

Draw a rectangle and label the length and width.

Perimeter = 2l + 2w Perimeter = 2(12) + 2(5) Perimeter = 24 + 10 Perimeter = 34 |
Area = lw Area = 12⋅5 Area = 60 |

So, the perimeter is 34 inches and the area is 60 square inches.

**Example 2 :**

Find the diameter, radius, circumference and area of the circle shown below. use 3.14 as an approximation for ∏.

**Solution :**

From the diagram shown above, we can see that the diameter of the circle is

d = 13 - 5 = 8 cm

The radius is one half the diameter. So, the radius is

r = d/2 = 8/2 = 4 cm

Using the formula for circumference, we have

C = 2∏r ≈ 2(3.14)4

C ≈ 25.1 cm

Using the formulas for area, we have

A = ∏r² ≈ (3.14)(4)²

A ≈ 50.24 square cm.

**Example 3 :**

Find the area and perimeter of the triangle shown below.

Using the formula for perimeter of the triangle, we have

P = a + b + c

P = 5 + 8 + 5

P = 18 cm

Using the formula for area of the triangle, we have

A = (1/2)⋅b⋅h

A = (1/2)⋅8⋅6

A = 24 square cm.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**