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soldier1979 [14.2K]
3 years ago
13

Can anyone help me on this?

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

the second choice (-2,-3)

Step-by-step explanation:

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The area of this circle is 96π m². what is the area of a 30º sector of this circle?
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Answer: 8π square meters

Explanation: 

First, we convert the angle of the sector to radians, which is 30 degrees. 

Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6, 

30 degrees = π/6 radians

Thus, the angle of the sector in radians is π/6.

So, the area of the sector is given by 

(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
                          = (1/2)(radius)²(π/6)
                          = (π/12)(radius)²
                          = (1/12)(π)(radius)²

Note that

(Area of the circle) =  (π)(radius)² = 96π

Therefore, the area of the 30-degree sector is given by 

(Area of the sector) = (1/12)(π)(radius)²
                                = (1/12)(Area of the circle)
                                = (1/12)(96π)
(Area of the sector) = 8π square meters

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