The length of the arc intercepted by a central angle of 3/9 pie is 3.6 feet long how long is the radius of the circle

1 answer:

7 0

Answer: The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L / Θ = C / 2π

As circumference C = 2πr,

L / Θ = 2πr / 2π

L / Θ = r

We find out the arc length formula when multiplying this equation by Θ:

L = r * Θ

Hence, the arc length is equal to radius multiplied by the central angle (in radians).

Step-by-step explanation: That is the correct answer. Hope I help out alot (-: :-)

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In order to determine the correct answer, it would be helpful to set up equations. We do as follows:

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