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.

Find the area and the circumference of a circle with diameter 4cmWrite your answers in terms of π and be sure to include the correct units in your answers class=

Respuesta :

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]

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