Answer:
D
Step-by-step explanation:
To find the percentage we must first find the area of the circle:
We can find the radius of the circle using the distance formula;
⇒ [tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
⇒ [tex]r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}[/tex]
⇒ [tex]r = 6.5[/tex]
Now we calculate the area;
⇒ [tex]A = \pi r^{2}[/tex]
⇒ [tex]A = \pi (6.5)^{2}[/tex]
⇒ [tex]A = \frac{169}{4}\pi[/tex]
To get the percentage we divide the area of the circle by the square’s are and multiply by 100;
⇒ [tex]Percentage = \frac{42.25\pi }{200} * 100[/tex]
⇒ [tex]Percentage = 66 (2sf)[/tex]
