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princeevee
Answered

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians.




What is the length of the arc?


2π ft


​ 3π ​ ft


​ 6π ​ ft


​ 9π ​ ft

Verified Answer :

wolf1728

Length of arc = radius angle in radians
Length of arc = 6 feet 3PI/2
Length of arc = 9*PI feet
answer is D




boffeemadrid

Answer:

(D)\(9{\pi} ft\)

Step-by-step explanation:

We are given that In a circle with a radius of 6 ft, an arc is intercepted by a central angle of \(\frac{3{\pi}}{2}\) radians.

Then, the length of the arc is given by:

Length of the arc= radius×angle in radians

Length of the arc=\(6{\times}\frac{3\pi}{2}\)

Length of the arc=\(9{\pi} ft\)

Thus, the length of the arc is \(9{\pi} ft\) feet.

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