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Nikolay [14]
3 years ago
13

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 ci

rcle area A = 9π cm2 and Θ = π/4 .
Mathematics
1 answer:
Luda [366]3 years ago
6 0
<h3>Answer:</h3>

arc length = 3π/4 cm

<h3>Explanation:</h3>

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

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