Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
![A=\frac{\theta}{360}*\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2)
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
![\theta = 80](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2080)
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
![A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2%5C%5CA%3D%5Cfrac%7B80%7D%7B360%7D%2A%5Cpi%20%2810%29%5E2%5C%5CA%3D%5Cfrac%7B2%7D%7B9%7D%2A100%5Cpi%5C%5CA%3D%5Cfrac%7B200%5Cpi%7D%7B9%7D%5C%5CA%3D69.81)
Thus,
The area of the shaded sector is 69.81 sq. meters.
Answer:
8
Step-by-step explanation:
If we have anything to the third power, we are multiplying the number by itself 3 times.
If x = 2, then the expression is
.
![2\cdot2\cdot2=8](https://tex.z-dn.net/?f=2%5Ccdot2%5Ccdot2%3D8)
Hope this helped!
The total amount of calories burnt in jogging 2 miles = 185 calories
We have to determine the number of calories burned in jogging 3 miles.
Firstly, we will determine the amount of calories burnt in jogging 1 mile. We will use unitary method to evaluate this.
So, the total amount of calories burnt in jogging 1 mile = ![185 \div 2](https://tex.z-dn.net/?f=185%20%5Cdiv%202)
= 92.5 calories
So, the amount of calories burnt in 3 miles = ![3 \times 92.5](https://tex.z-dn.net/?f=3%20%5Ctimes%2092.5)
= 277.5 calories
Therefore, 277.5 calories are burned in jogging 3 miles.
Answer:
but how do you want it done?
Step-by-step explanation:
Answer:
7:07pm.
Step-by-step explanation:
There's no way to explain this you just need to know time.