SOLUTION: Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter
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Question 58813This question is from textbook Elementary and Intermediate Algegra
: Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.) This question is from textbook Elementary and Intermediate Algegra
You can put this solution on YOUR website! Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.
:
Let x = length of the side & the radius
:
Perimeter of the square: 4x
:
Circumference of the circle: 2*pi*x
:
"circumference of the circle is 15.96 cm greater than the perimeter of the sq."
(2*pi*x) = 4x + 15.96
6.28x = 4x + 15.96
6.28x - 4x = 15.96
2.28x = 15.96
x = 15.96/2.28
x = 7 cm
:
Check our solution x = 7:
Circum - perimeter
(2*pi*7) - 4(7) =
43.96 - 28 = 15.96
