An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is in the shape of a sector of a circle of radius 15 yards. Through what angle should the sprinkler rotate?

50.96 degrees

Step-by-step explanation:

step 1

Find the area of complete circle with radius 15 yards

The area of the circle is given by the formula

substitute the given value of r

assume

step 2

Through what angle should the sprinkler rotate?

we know that

The area of the complete circle subtends a central angle of 360 degrees

so

using proportion

Find out the central angle of a sector of 100 square yards

360/29

step-by-step explanation:

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step-by-step explanation: