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Sagot :

Answer:

Circumference: 160.14cm

Area: 2041.79cm²

Step-by-step explanation:

Area of a circle:

[tex]A=\pi r^2[/tex]

Circumference of a circle:

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

or in the case of diameter rather than radius:

[tex]C=\pi d[/tex]

Circumference:

The diameter of the circle is given, so plug that in for d and use 3.14 for pi.

[tex]C=\pi d\\C=(3.14)(51)\\C=160.14[/tex]

That's already rounded to the nearest hundredth, so the answer is 160.14cm.

Area:

First, convert the diameter to radius by dividing by 2:

[tex]51/2=25.5[/tex]

Now, plug that into r and use 3.14 for pi.

[tex]A=\pi r^2\\A=(3.14)(25.5)^2\\A=(3.14)(650.25)\\A=2041.785[/tex]

Rounding that to the nearest hundredth, you get 2041.79cm².