Answer:
D. [tex]278\text{ cm}^{2}[/tex].
Step-by-step explanation:
We have been given a graph of a circle and we are asked to find the area of our given circle.
We will use area of circle formula to find the area of our given circle.
[tex]\text{Area of circle}=\pi r^{2}[/tex], where r is radius of the circle.
We can see from our graph that radius of our given circle is 9.4 cm. Upon substituting r=9.4 and [tex]\pi=3.14[/tex] in above formula we will get,
[tex]\text{Area of circle}=3.14\times (9.4\text{ cm})^{2}[/tex]
[tex]\text{Area of circle}=3.14\times 88.36\text{ cm}^{2}[/tex]
[tex]\text{Area of circle}=277.5911268711941306\text{ cm}^{2}\approx 278\text{ cm}^{2}[/tex]
Therefore, the approximate area of our circle will be [tex]278\text{ cm}^{2}[/tex] and option D is the correct choice.
