EavenQ327904 EavenQ327904
  • 03-11-2022
  • Mathematics
contestada

the radius of a circle is 1 what is the length of an arc that subtends an angle of 10pi/9 radians

the radius of a circle is 1 what is the length of an arc that subtends an angle of 10pi9 radians class=

Respuesta :

MarkeeseD189544 MarkeeseD189544
  • 03-11-2022

To convert from radians to degrees, you have to know that 180 degrees is equal to one pi

[tex]\frac{10\text{ pi}}{9}\text{ = }\frac{10X180^{\circ}}{9}=200^{\circ}[/tex]

Angle 360 -200 = 160

[tex]\begin{gathered} lengthofarc=\frac{\emptyset}{360}X\frac{2\pi\text{ r}}{1} \\ =\text{ }\frac{160}{360}X\frac{2\pi\text{ X 1 }}{1} \end{gathered}[/tex]

length of arc =2.7925

The length of the arc is approximately 2.8

Answer Link

Otras preguntas

hello guys how are you all​
Plz help is it a, b, c, or d?
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation
How does the author develop theidea that some neighborhoodshave limited food choices?According to the author, healthy foodsin a food desert are often difficult
which is greater? -5.7 or -5 2/5
I need help ill give brainlist if right look at the screen shot
Marcus want to determine how much water I'd needed to fill his pool. What measurement does he need to find? a) The perimeter of the pool b) the volume of the po
PLS HELP MEEEEEEE 1/2 servings are in a box of oatmeal that contains6 3/4 cups of oatmeal.
How does DNA polymerase help the promoter and terminator sequences in transcription
A salesman earns 5% commission on all the merchandise that he sells. Last month he sold $5000 worth of merchandise. How much commission (in dollars) did he earn