Mathematics, 30.01.2020 18:46 buddyben422

What is the approximate area of the shaded sector in the circle shown below

Answers: 2

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Answer from: haleydanielle8

Hello!

The answer is:

D. $37.7cm^{2}$

Why?

To solve this problem, we need to remember the formula that defines the area of a circle.

The area of any circle is given by the following formula:

$A=\pi *r^{2}$

We must remember that the expression "2π" radians is equal to 360° since π radian is equal to 180°.

Then,

$\frac{360(degrees)}{30(degrees)}=12$

So,

$\frac{360(degrees)}{12}=30(degrees)$

So, to calculate the area of the shaded area which represents 30° of the 360°, we need to divide the total area by 12.

$A=\pi*r^{2}=\pi*(12cm)^{2}=\pi *144=144\pi =452.39cm^{2}$

Dividing by 12, we have:

$A_{30(degrees)=\frac{452.39cm^{2}}{12}=37.7cm^{2}$

Hence, the correct option is:

D. $37.7cm^{2}$

Have a nice day!

Answer from: leopard7982

ANSWER

D. 37.7cm²

EXPLANATION

The area of a sector of a circle is calculated using the formula,

$\frac{ \theta}{360} \times \pi \: {r}^{2}$

Where

$\theta = 30 \degree$

is the angle of the sector and

r=12cm is the radius of the circle.

We plug in the values to obtain,

$\frac{ 30}{360} \times \pi \times \: {12}^{2} = 37.7 {cm}^{2}$

The correct choice is D.

Answer from: Quest

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..

The table represents a function f(x). what is f(3)? a.-9 b.-1 c.1 d.9

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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What is the approximate area of the shaded sector in the circle shown below
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