Respuesta :
Formula: circumference = 2πr
Formula: Area = πr²
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Given circumference = x and area = y and x = 2y
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2πr = 2πr²
Divide by 2πr on both sides:
r = 1
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Answer: r = 1
The value of the radius is 1 ft.
What is a Circle?
A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
The circumference is the perimeter of the circle, it is the distance that is covered by a man to take one round around the circle.
The area is defined as the space required by a two dimensional object in space.
The circumference of a circle is x feet.
The area of a circle is y square feet.
x = 2y
Let r is the radius of the circle
The circumference of the circle is given by 2πr
and the area of the circle = πr²
The relation is
2πr = 2 (πr²)
r = r²
r = 1 ft.
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