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Molodets [167]
2 years ago
11

Find the area of the green sector if m∠ A = π/6 and the circle has a radius of 10 inches. A) 25π B) π/6 C) 25π/ 3 D) 5π/6

Mathematics
2 answers:
shutvik [7]2 years ago
8 0

Where is the green sector?


I will assume that the central angle is pi/6 and that the radius is 10 in.


The area of the whole circle is pi*100 units^2.



The green sector has an area of



pi/6

-------- times the area of the entire circle = (1/12) of pi*100 units^2.

2pi


This comes to pi*(100 units^2)

------------------------ = (25/3) pi units^2. That's C.

12

barxatty [35]2 years ago
3 0

<u>Answer:</u>

25π/2

<u>Step-by-step explanation:</u>

You can set up a proportion:  

area sector /area :     circle =  A /360 °

In this case :       x /100π  =  45 /360

 

x =  1/8  100π =  25π/2

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A<br> 9x - 40<br> B<br> 3x + 20<br> x = [?]
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Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20

6x - 40 = 20

6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>

6x = 60

<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>

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Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

<u>9</u><u>(</u><u>10</u><u>)</u> - 40

<u>90</u><u> </u><u>-</u><u> </u><u>40</u>

50

3x + 20

<u>3</u><u>(</u><u>10</u><u>)</u> + 20

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Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

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