Answer:
The area of the circle is 531.14 square unis
Step-by-step explanation:
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
where r is the radius of the circle
Given that the diameter of the circle = 26 units, the radius can be determined by;
r = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{26}{2}[/tex]
r = 13 units
So that,
Area of the circle = [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x 169
= 531.1429
The area of the circle is 531.14 square unis.