Question

Please help dont understand

Answer 1

36.576 cm²

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:

`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=√(46.57)`

Since we have our diameter, the radius is simply
`r=(√(46.57))/(2)`, and finding the area of the circle becomes simple enough:

`A=\pi r^2\\\\A=\pi((√(46.57))/(2))^2\\ \\A=\pi((46.57)/(4))\\ \\A\approx36.576`

Therefore, the area of the circle is 36.576 cm²

Answer 2

36.5 sq cm

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