Question

PLS HELP! TWO MATH QUESTIONS

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercepted arc length is 5.4 cm?

Enter your answer as a decimal in the box.


_____ radians

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In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π2 radians.



What is the length of the arc?


2π ft

​ 3π ​ ft

​ 6π ​ ft

​ 9π ​ ft

Answer 1

Yeah I'm not sure but I think it's 6

Answer 2

There is a formula that relates the arc length of a circle of radius, r, to the central angle ,θ in radians. S = r(θ) where S is arc length, r is radius, and θ is the central angle.

So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9

Now for the second question substituting into the formula we have:
S = 6(
`(3 \pi )/(2)`)

Solving this for S we find the arc length to be 9π