It would be : 0.35 , 0.4 , 0.7 .
Hope This Helps You!
Good Luck Studying :)
The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is
![AL= \frac{ \beta }{360} *2 \pi r](https://tex.z-dn.net/?f=AL%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%2A2%20%5Cpi%20r)
. Notice the "2*pi*r" which is the circumference formula. The area of a sector is
![A s= \frac{ \beta }{360} * \pi r ^{2}](https://tex.z-dn.net/?f=A%20s%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%20%2A%20%5Cpi%20r%20%5E%7B2%7D%20)
. Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly,
![6 \pi = \frac{ \beta }{360} *2 \pi (18)](https://tex.z-dn.net/?f=6%20%5Cpi%20%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%2A2%20%5Cpi%20%2818%29)
. Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly,
![A_{s} = \frac{60}{360} * \pi (18) ^{2}](https://tex.z-dn.net/?f=%20A_%7Bs%7D%20%3D%20%5Cfrac%7B60%7D%7B360%7D%20%2A%20%5Cpi%20%2818%29%20%5E%7B2%7D%20)
, and
![A_{s} =54 \pi](https://tex.z-dn.net/?f=%20A_%7Bs%7D%20%3D54%20%5Cpi%20)
. When you multiply in the value of pi, you get that your area is 169.65 in squared.
Answer:
Step-by-step explanation:
- (2/3)(cx + 1/2) - 1/4 = 5/2
- (2/3)cx + 1/3 - 1/4 = 5/2
- (2/3)cx + 1/12 = 5/2 Multiply all terms by 12
- 8cx + 1 = 30
- 8cx = 29
- x = 29 / (8c)
Answer:
Point Form:
(4, −1, −3)
Equation Form:
x = 4, y = −1, z = −3
Step-by-step explanation:
..math