Question

A farmer uses an irrigation sprinkler system that pivots about the center of a circular field. Determine the length of the sprinkler if an area of 2340 square feet is watered after a pivot of 20°.

P.S: The formula is A=1/2 theta r^2
Please help me. Thank you.

Answer 1

Θ is in radians

20º = (2 π / 18) rad

2340 = ½ (2 π / 18) r²

18 * 2340 / π = r²

Answer 2

12