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Chapter 6: Q. 96 (page 366)

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

Short Answer

Expert verified

The sprinkler should rotate about0.89radians or about50.93鈭�

Step by step solution

01

Step 1. Given information

The field to be covered is of 100square yards and it is in the shape of a sector of the circle of radius15yards.

02

Step 2. Used formulae

The area of a circle with radiusrand angle胃is given by,A=12r2胃胃=2Ar2

03

Step 3. Calculation

Substituting the values in the mentioned formula, we get,胃=2Ar2=2路100(15)2=89鈮�0.89radians or0.89路180蟺=50.93掳

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