Answer:
D. [tex]25\pi\text{ units}^2[/tex]
Step-by-step explanation:
We have been given that diameter of a circle is 20 units.
To find the area of our given circle we will use area of circle formula.
[tex]\text{The area of circle}=\pi r^2[/tex], where r represents radius of circle.
let us find the radius of our given circle by dividing diameter by 2 as diameter is 2 times radius.
[tex]\text{Radius of circle}=\frac{10}{2}[/tex]
[tex]\text{Radius of circle}=5[/tex]
Upon substituting r=5 in area of circle formula we will get,
[tex]\text{The area of circle}=\pi*\text{(5 units)}^2[/tex]
[tex]\text{The area of circle}=\pi*25*\text{ units}^2[/tex]
[tex]\text{The area of circle}=25\pi\text{ units}^2[/tex]
Therefore,the exact area of our given circle is [tex]25\pi[/tex] square units and option D is the correct choice.
