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a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal.

Sagot :

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.

To learn more about circumference of a circle: https://brainly.com/question/20489969

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