Question

hello loves!! I've been stuck on this question for like 2 hours lol! i need some help, ill give 100 points :)

Answer 1

Answer:

61.13 units squared

Step-by-step explanation:

This figure is composed of a semicircle and a triangle. Let's find these areas separately:

1) SEMICIRCLE:

The area of a semicircle is: $A=\frac{\pi r^2}{2}$ , where r is the radius (which is the distance from the center to a point on the circle). In this case, the radius of the circle is 4. So, we have:

$A=\frac{\pi *4^2}{2} =\frac{16\pi }{2} =8\pi$ ≈ 25.13 units squared

2) TRIANGLE:

The area of a triangle is: $A=\frac{bh}{2}$ , where b is the base and h is the height. Here, the base is 8 (b = 8) and the height is 9 (h = 9). So, we have:

$A=\frac{8*9}{2} =\frac{72}{2} =36$ units squared

Finally, we add these two areas together:

25.13 + 36 = 61.13 units squared.

Hope this helps!

Answer 2

Answer:

61.12 units²

Step-by-step explanation:

(½ × pi × r²) + (½ × b × h)

½ [(3.14 × 4²) + (8 ×9)]

½(122.24)

61.12 units²