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
Answer:
5sqroot3
Step-by-step explanation:
see image.
An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.
To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image
Answer:
28
Step-by-step explanation: She cut the rope into thirds so the mathematical equation I used was 9x3 plus the 1/3 she already had which means one more piece of rope.
Answer:
<h3>
The cylinder's radius is <u> 2 </u> inches </h3><h3>
and it’s height is <u> 3 </u> inches.</h3>
Step-by-step explanation:
A diameter is two radiuses long, so the cylinder's radius is:
R = 4 in ÷ 2 = 2 in
The volume of cylinder is: V = πR²×H
Therefore:
12π = π×2²×H
12 = 4H
H = 3 in