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Molodets [167]
3 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]3 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]3 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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