Question

Find the area and the circumference of a circle with diameter 10 mmWrite your answers in terms of it, and be sure to include the correct units in your answers.

Answer 1

Given

The diameter of the circle is 10mm.

To find the area and the circumference of the circle.

Step-by-step explanation:

It is given that,

The diameter of the circle is 10mm.

Then,

The area of the circle is,

`A=\pi r^2`

Since

`\begin{gathered} d=10mm \\ r=(10)/(2)mm \\ \Rightarrow r=5mm \end{gathered}`

Therefore,

`\begin{gathered} A=\pi(5)^2 \\ =25\pi mm^2 \end{gathered}`

Also,

The circumference of the circle is given by,

`C=2\pi r`

That implies,

`\begin{gathered} C=2\pi*5 \\ =10\pi mm \end{gathered}`

Hence, the area of the circle is 25πmm² and the circumference of the circle is 10πmm.