Unit 11: Volume and Surface Area Homework 1: Area of Plane Figures- Find Area.
Answers
Answer:
4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
I hope this helps!
The area of a shape is the amount of space it can occupy.
The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
(a) Triangle
Given that:
[tex]Base = 27cm[/tex]
[tex]Height = 16cm[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 27cm \times 16cm[/tex]
[tex]Area = 216cm^2[/tex]
(b) Square
Given that:
[tex]Length = 17.6mm[/tex]
The area is:
[tex]Area = Length^2[/tex]
[tex]Area = (17.6mm)^2[/tex]
[tex]Area = 309.76mm^2[/tex]
(c) Semi-circle
Given that:
[tex]diameter =44in[/tex]
First, calculate the radius (r)
[tex]r = 0.5 \times diameter[/tex]
[tex]r = 0.5 \times 44in[/tex]
[tex]r = 22in[/tex]
The area is:
[tex]Area = \frac{\pi r^2}{2}[/tex]
[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]
[tex]Area = 760.61in^2[/tex]
(d) Triangle
Given that:
[tex]Base = 20.4in[/tex]
[tex]Height = 14.6in[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]
[tex]Area = 148.92in^2[/tex]
Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
Read more about areas at:
https://brainly.com/question/16418397
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