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.
