Question

How do I solve this?

Answer 1

Answer:

Step-by-step explanation:

First, let's find the area of the triangle. The Area of a triangle can be modeled as

b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24

To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16

16pi= approximately 50.24

50.24/2= 25.12

25.12 + 16 = 41.12

The area of the figure is approximately 41.12 ft^2

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Answer 2

Answer:

49.12 ft²

Step-by-step explanation:

The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.

Area of semi-circle = (πr²) ÷ 2

= (3.14 × 4 × 4) ÷ 2

= 50.24 ÷ 2

= 25.12 ft²

Area of triangle = $\frac{1}{2}$bh

= $\frac{1}{2}$ × 6 × 8

= 24 ft²

Area of compound figure = Area of semi-circle + Area of triangle

= 25.12 + 24

= 49.12 ft²