A circle with a circumference of 615.44 units has a radius of 98 units.
A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.
The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant [tex]\pi[/tex] and the diameter of the circle.
C = [tex]\pi[/tex]D
The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.
If r = 1/2 D, then
D = 2r
Evaluating the value of Din the formula of the circumference,
C = [tex]\pi[/tex](2r)
C = 2[tex]\pi[/tex]r
Using the value of [tex]\pi[/tex] as 3.14 and the circumference as 615.44 units,
evaluate the equation.
C = 2[tex]\pi[/tex]r
615.44 = 2(3.14)r
r = 615.44/ (2*3.14)
r = 98 units
Therefore, the radius of the circle is 98 units.
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