Question

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 9π cm2 and Θ = π/4 .

Answer 1

Answer:

arc length = 3π/4 cm

Explanation:

The appropriate relations are ...

... A = πr² . . . . area of a circle

so ...

... r = √(A/π)

and

... s = rθ . . . . . arc length

___

Combining these, we have

... s = θ√(A/π)

Filling in your numbers gives ...

... s = (π/4)√((9π cm²)/π)

... s = 3π/4 cm