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A central angle measuring 45 degrees is in a circle of radius 2 meters. Find the length of the of circle subtended by the angle

A Central Angle Measuring 45 Degrees Is In A Circle Of Radius 2 Meters Find The Length Of The Of Circle Subtended By The Angle class=

Sagot :

The arc length formula is

[tex]l=\frac{\theta}{360}\cdot2\pi r[/tex]

Where

l is the arc length

θ is the central angle

r is the radius of the circle

Given,

θ = 45

r = 2

Substituting into the formula,

[tex]\begin{gathered} l=\frac{45}{360}\cdot2\pi(2) \\ l=\frac{1}{8}\cdot4\pi \\ l=\frac{4\pi}{8} \\ l=\frac{\pi}{2} \end{gathered}[/tex]AnswerE
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