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Start by what you know.

The arc length is found by l = r(theta)

L = 24
r and theta are unknown so

24 = r(theta)

The sector area equals to A= 1/2 (r^2(theta))

A= 180 cm

180 = 1/2(r^2(thetta)

360 = r^2(theta)

Then, using the arc length formula, you can say that r = 24/theta

Substitute this into the Sector area:

360=(24/theta)^2(theta)

solve using Calculator.

//this is what i am guessing anyways

Edited by Maks123456
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