Question

8. Find the area of the figure.

Answer 1

Answer:

$\pi 6.125 cm^{2} + 24.5cm^{2}$ or $43.74225cm^{2}$

Step-by-step explanation:

Formula for calculating area of a circle:

$\pi r^{2} = a$

Formula for calculating area of a triangle:

$\frac{w * h}{2} = a$

Formula for calculating radius from diameter:

$\frac{d}{2} = r$

The left figure isn't a circle but a half circle, which (that the name indicates) is half a circle, and therefor also half the area of a circle. So the formula for calculating the area of a half circle is:

$\frac{\pi r^{2} }{2} = a$

The right figure in the image is a triangle, so we can use the triangle-area-formula above for that:

$\frac{7cm * 7cm}{2} = 24.5cm^{2}$

The diameter of the half circle is 7 cm which means that the radius is 3.5cm.$\frac{\pi 3.5cm^{2} }{2} = \pi 6.125cm^{2}$

6.125*pi is about 19.24225 cm^2

Now we just have to add the two areas together to get the total area.

The exact answer is:

$\pi 6.125 cm^{2} + 24.5cm^{2}$

The approximate answer is:

$43.74225cm^{2}$

Hope i could help you understand!

If you have any questions, ask them in the comments below!

Have a good day (●'◡'●)