SOLUTION: A regular pentagon is inscribed inside a circle. The perimeter of the pentagon is 95 units.
A: What is the approximate measure of the radius of the circle?
B: What is the app
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-> SOLUTION: A regular pentagon is inscribed inside a circle. The perimeter of the pentagon is 95 units.
A: What is the approximate measure of the radius of the circle?
B: What is the app
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Question 1106935: A regular pentagon is inscribed inside a circle. The perimeter of the pentagon is 95 units.
A: What is the approximate measure of the radius of the circle?
B: What is the approximate area of the circle?
Choose only one answer each for parts A and B.
A: 11.74
A: 13.08
A: 7.69
A: 16.16
B: 433
B: 821
B: 537
B: 186
You can put this solution on YOUR website! If this is drawn,the radius is the hypotenuse of a right triangle with base 9.5 (half the side length of 19) and angle with hypotenuse of 54 degrees, half of the internal angle. cosine 54=9.5/x
x=9.5/cos 54=16.16
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The area is pi*(16.16)^2, which can be estimated as 250*3 1/4 or about 815.
It is 820.65, so 821 is the correct answer.
