Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet


Sagot :

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet