Find the area and the circumference of a circle with diameter 4cm.Write your answers in terms of π, and be sure to include the correct units in your answers.

Given:
Diameter of a circle is 4cm
Required:
To find the area and circumference of a given circle.
Explanation:
Given that the diameter is 4cm.
Therefore, the radius of the circle is
[tex]\begin{gathered} r=\frac{4}{2} \\ =2cm \end{gathered}[/tex]The formula for area of a circle is,
[tex]A=\pi r^2[/tex]Substitute the value of r, we get
[tex]\begin{gathered} A=\pi2^2 \\ =4\pi \end{gathered}[/tex]The formula for circumference of a circle is,
[tex]\begin{gathered} C=2\pi r \\ =2\times\pi\times2 \\ =4\pi \end{gathered}[/tex]Final Answer:
Area of a circle,
[tex]A=4\pi[/tex]Circumference is
[tex]C=4\pi[/tex]