Given
The diameter of the circle is 10mm.
To find the area and the circumference of the circle.
Explanation:
It is given that,
The diameter of the circle is 10mm.
Then,
The area of the circle is,
[tex]A=\pi r^2[/tex]
Since
[tex]\begin{gathered} d=10mm \\ r=\frac{10}{2}mm \\ \Rightarrow r=5mm \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} A=\pi(5)^2 \\ =25\pi mm^2 \end{gathered}[/tex]
Also,
The circumference of the circle is given by,
[tex]C=2\pi r[/tex]
That implies,
[tex]\begin{gathered} C=2\pi\times5 \\ =10\pi mm \end{gathered}[/tex]
Hence, the area of the circle is 25πmm² and the circumference of the circle is 10πmm.
