Respuesta :

ANSWER

132.7 km^2 option B

EXPLANATION

Step 1: Formula for Area of a Circle

[tex]\text{Area of a circle = }\pi r^2[/tex]

where radius r = diameter/2

r = 13/2

r = 6.5km

Step 2: Substitute the values of r = 6.5 and pi = 3.14

[tex]\begin{gathered} \text{Area = }\pi r^2 \\ \text{ = 3.14 }\times6.5^2 \\ \text{ = 3.14 }\times\text{ 42.25} \\ \text{ = }132.665\text{ }=\text{ 132.7 }km^2\text{ (to nearest tenth)} \\ \end{gathered}[/tex]

Hence, the area of the circle with radius 6.5km is 132.7km^2 (to the nearest tenth).