Respuesta :

Answer:

Radius is 24 centimeters

Diameter is 48 centimeters

Circumference is 150.72 centimeters

Step-by-step explanation:

We have been given that area of the circle B is 1808.64 square centimeters.

We can find the radius of the circle B using the formula for area of circle and setting up the given area equal to the formula.

[tex]\pi r^{2}=1808.64\\3.14r^{2}=1808.64\\r^{2}=\frac{1808.64}{3.14}=576\\r=\sqrt{576} =24[/tex]

Therefore, radius of the circle B is 24 centimeters.

We know that diameter is twice the radius, therefore, diameter of circle B will be 24*2=48 centimeters.

Finally, we can express the circumference of circle using the formula:

[tex]C=2\pi r\\C=2(3.14)(24)\\C=150.72[/tex]

Therefore, circumference of the circle B is 150.72 centimeters.

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