+0

0
488
2
+128

The figure shows part of a regular n-gon inscribed in a circle of radius r. Use the figure to answer the questions and derive a formula for the circumference of a circle with radius r.

1. The regular n-gon can be divided into n congruent isosceles triangles, each with a vertex angle of measure. What is the measure of 360 degrees/n in terms of n? Explain.

2. Use the sine ratio to write an expression for x in terms of r and n. Show your work.

3. Use the expression you found for x to write an expression for the perimeter of the inscribed n-gon.

4. Your expression for the perimeter of the inscribed n-gon should contain the factor n sin (180 degrees/n). Use technology to help you explain what happens to the value of n sin (180 degrees/n) as n gets larger and larger. (Hint: Describe how this information relates to the circumference of a circle.)

5. As n gets larger and larger, the perimeter of the inscribed n-gon gets closer and closer to the circle. What does the expression in question 2 and your answer to question 4 tell you about the formula for the circumference of a circle? Explain.

May 30, 2017

#1
0

hey the answer to this quetion  is 98

May 30, 2017
#2
+7347
+1

Is this the same question that you have?

https://web2.0calc.com/questions/i-can-t-do-math

May 30, 2017
edited by hectictar  May 30, 2017
edited by hectictar  May 30, 2017