hendrixrocky39
Answered

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What is the arc length of an arc with radius 15 inches and central angle 30 degrees

What Is The Arc Length Of An Arc With Radius 15 Inches And Central Angle 30 Degrees class=

Sagot :

Hi1315

Answer:

7.855 inches

Step-by-step explanation:

The formula to find the length of an arc is :

Arc Length = [tex]\frac{\theta}{360}[/tex] × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

Let us solve it now.

Arc length = [tex]\frac{\theta}{360}[/tex] × 2 π r

Arc length = [tex]\frac{30}{360}*2*\pi*15[/tex]

Arc length = [tex]\frac{30*2*\pi*15}{360}[/tex]

Arc length = [tex]\frac{2827.8}{360}[/tex]

Arc length = 7.855 inches

Let me know if you have any other questions. :)

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