Question

Find the circumference and the area of a circle with diameter 6cm.Write your answers in terms of π, and be sure to include the correct units in your answers.

Answer 1

Answer:

$\begin{gathered} Circumference\text{ = 6}\pi\text{ cm} \\ Area\text{ = 9}\pi\text{ cm}^2 \end{gathered}$

Explanation:

Here, we want to calculate the circumference and area of the given circle

An important measure is the radius of the circle

Mathematically, the radius is half of the diameter

Thus, we have that as 6 cm/2 = 3 cm

a) Area

To calculate the area of the circle, we can use the following:

$\begin{gathered} Area\text{ = }\pi\times r^2 \\ Area\text{ = 3}^2\times\pi\text{ = 9}\pi\text{ cm}^2 \end{gathered}$

b) To calculate the Circumference, we use the following formula

We have that as:

$\begin{gathered} Circumference\text{= 2}\times\pi\times r \\ \text{ = 2}\times\pi\times3\text{ = 6}\pi\text{ cm} \end{gathered}$