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Hi, I really need help in this so...like I added 100 brainlest for anyone who answers! Thank you!! ;) ^w^
Find the arc length og the partial circle.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

Hi I really need help in this solike I added 100 brainlest for anyone who answers Thank you w Find the arc length og the partial circle Either enter an exact an class=

Respuesta :

itzamirv2

We need to know the arc length,

the arc length is x/360 × 2 × pi × r

since 3/4 is left on the circle, x = 360⁰×3/4

and r = 5

therefore:

(1080⁰/360⁰)× 2 × pi × 5 = 15pi/2 approximatly ≈ 23.6 units

msm555

Answer:

23.55 units

Step-by-step explanation:

To find the arc length of the partial circle, we first need to calculate the length of the arc using the formula:

[tex] \Large\boxed{\boxed{ \textsf{Arc Length} = \dfrac{\textsf{angle}}{360^\circ } \times 2 \pi r }}[/tex]

Where:

  • [tex] \textsf{angle} = 360^\circ - 90^\circ = 270^\circ [/tex] (as the given angle is complementary to 360°)
  • [tex] r = 5 [/tex] (radius of the circle)

Plugging in the values, we have:

[tex] \textsf{Arc Length} = \dfrac{270^\circ }{360^\circ } \times 2 \times 3.14 \times 5 [/tex]

[tex] \textsf{Arc Length} = \dfrac{3}{4} \times 2 \times 3.14 \times 5 [/tex]

[tex] \textsf{Arc Length} = \dfrac{3}{4} \times 10 \times 3.14 [/tex]

[tex] \textsf{Arc Length} = \dfrac{30}{4} \times 3.14 [/tex]

[tex] \textsf{Arc Length} = 7.5 \times 3.14 [/tex]

[tex] \textsf{Arc Length} = 23.55 \textsf{ units }[/tex]

So, the arc length of the partial circle is approximately 23.55 units.

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