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2 years ago

I need help finding all of the areas below!50 points!

Mathematics

2 answers:

ladessa [460]2 years ago

8 0

Answer:

3) 27

4) 80

5) 45

6) 48

7) 42

8) 4.2

Step-by-step explanation:

MariettaO [177]2 years ago

5 0

Answer:

Here all all the answers

Step-by-step explanation:

First page

3) 27 yd²

4) 80 km²

5) 45 ft²

6) 48 m²

7) 42 yd²

8) 7ft² (Not sure if that correct)

2nd page

1) 25 m²

2) 3.84 ft²

3) 27 yd²

4) 80 km²

5) 45 ft²

6) 48 m²

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

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To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

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