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

Compute the odds in favor of rolling a sum of 10 in a single roll of two fair dice
what is force ?is it desirable or undesirable?
take 2 identical bowls filled with water.shine a spotlight on one and place one away from the spotlight in the same room. which shows higher evaporation and why
I just need the equation on how to do it. I'm so lost :'( help please!!!!!!
If 52 x equals 7800 y what does 1 x equal? What is the maths equation?
What was the South’s greatest concern when California applied for statehood?
What are the operation sines that make this statement correct? 3_5_7_18_3=14
wats the 60% off a prize that is $20.00
Two diverging light rays, originating from the same point, have an angle of 5° between them. After the rays reflect from a plane mirror, what is the angle betwe
You shoot an arrow set a target. The parabolic path of the arrow passes through the points shown in table. X. Y 30. 6 60. 7 100. 4 A. Find a quadratic function