Six circles of radius 1 unit are drawn tangent to the sides of a regular hexagon. Each circle is also tangent to two other circles as shown in the drawing. What is the perimeter of the hexagon? Express your answer in simplest radical form.

Step-by-step explanation:

if we connect center of circles which tangent each other, then we get bigger regular hexagon with side length 2 unit but it differ 60° from original (smaller) hexagon. hence smaller hexagon has height 2•2–2•1 = 2. from center of smaller hexagon draw line to any two neigbouring vertexes so we get an equilateral triangle with height 1. by using pythagorean or trigonometry we get side length of smaller hexagon

so the perimeter is

unit

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)