Answer:
36.5 sq cm
Step-by-step explanation:
If you find the length of AB then you know the diameter and can find the area.
3.9^2 + 5.6^2 = c^2
15.21 + 31.36 = c^2
46.57 = c^2
6.82 = AB
The radius is half of that, so it is 3.41. Radius squared x pi = area
36.5 sq cm
Answer:
36.576 cm²
Step-by-step explanation:
We can simply figure out the hypotenuse of the triangle which is the diameter of our circle, then use the radius to get the area of the circle:
[tex]a^2+b^2=c^2\\\\5.6^2+3.9^2=c^2\\\\31.26+15.21=c^2\\\\46.57=c^2\\\\c=\sqrt{46.57}[/tex]
Since we have our diameter, the radius is simply [tex]r=\frac{\sqrt{46.57}}{2}[/tex], and finding the area of the circle becomes simple enough:
[tex]A=\pi r^2\\\\A=\pi(\frac{\sqrt{46.57}}{2})^2\\ \\A=\pi(\frac{46.57}{4})\\ \\A\approx36.576[/tex]
Therefore, the area of the circle is 36.576 cm²
