Answer:
Circumference: 12π
Area: 36π
Step-by-step explanation:
The equation for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.
C = 12π
And now we have found the circumference of the circle.
The equation for the area of a circle is:
A = πr²
Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:
12 = 2r
r = 6
Now that we know r, we can find the area of the circle:
A = π(6)²
A = 36π
Now we have found the area.
So the circumference is 12π and the area is 36π.
I hope you find my answer and explanation to be helpful. Happy studying.
the answer is c 20 minutes played and 9 levels passed because that point is acctually shown on the line
Answer:
13. ![D = 18](https://tex.z-dn.net/?f=D%20%3D%2018)
14. ![S = (x, y + 6)](https://tex.z-dn.net/?f=S%20%3D%20%28x%2C%20y%20%2B%206%29)
Step-by-step explanation:
13.
Given
![M = (-8,2)](https://tex.z-dn.net/?f=M%20%3D%20%28-8%2C2%29)
![S = (10,2)](https://tex.z-dn.net/?f=S%20%3D%20%2810%2C2%29)
Required
Determine the distance between M and S
Distance (D) is calculated using:
![D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%2B%28y_2%20-%20y_1%29%5E2%7D)
Where
![(x_1,y_1) = (-8,2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-8%2C2%29)
![(x_2,y_2) = (10,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2810%2C2%29)
![D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%2B%28y_2%20-%20y_1%29%5E2%7D)
![D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%2810%20-%20%28-8%29%29%5E2%20%2B%20%282%20-%202%29%5E2%7D)
![D = \sqrt{(10 +8)^2 + 0^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%2810%20%2B8%29%5E2%20%2B%200%5E2%7D)
![D = \sqrt{18^2 + 0}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B18%5E2%20%2B%200%7D)
![D = \sqrt{18^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B18%5E2%7D)
![D = 18](https://tex.z-dn.net/?f=D%20%3D%2018)
<em>Hence, the distance between M and S is 18 units</em>
<em></em>
14.
The coordinate of S and P are not given,
So, I'll just use (x,y) for P
i.e.
![P=(x,y)](https://tex.z-dn.net/?f=P%3D%28x%2Cy%29)
Required
Determine the coordinates of S
If S is 6 units above P, then the coordinates of S is
![S = (x, y + 6)](https://tex.z-dn.net/?f=S%20%3D%20%28x%2C%20y%20%2B%206%29)
<em>i.e. we add the units to the y coordinate of P.</em>
3 x 2 and 1/3? The answer is 7.
Answer:
24
Step-by-step explanation:
The length is 4, the width is 2, and the height is 3.
![V=lwh=(2)(3)(4)=24](https://tex.z-dn.net/?f=V%3Dlwh%3D%282%29%283%29%284%29%3D24)