Violetta Valentine bakes a cake in a circular baking dish that has a diameter of 10 inches. After the cake is ready, she places it at the center of a plate, leaving 1 inch between the cake and the edge of the plate. What is the circumference of the plate? Use 3.14 for π
π
. Round to the nearest inch.
31 inches
35 inches
38 inches
25 inches

Respuesta :

It’s 31 because Circumference is pie times diameter. 31.4 rounded is 31. Hope that helped.

For this case we have:

By definition, the circumference of a circle is given by:

[tex]C = 2\pi* r[/tex]

Where r represents the radius of the circle.

In this case we have that the diameter of the cake is given by the diameter of the mold where it was baked, that is, 10 inches.

If placed on a plate leaving 1 inch between the cake and the edge of the plate, we have that the diameter of the plate should be the diameter of the cake plus two inches, according to the two edges.

So, we have:

[tex]D = 10 + 2 = 12[/tex]

So:

[tex]r =\frac{D}{2}[/tex]

[tex]r =\frac{12}{2}[/tex]

[tex]r = 6[/tex]

So, we have:

[tex]C = 2\pi * 6\\C = 12\pi\\C = 12 * 3.14\\C = 37.68\\C = 38[/tex]

Answer:

Option C

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