Area of a Sector of a Circle In Exercises 53 and 54, use the following information. A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure).
For a circle of radius r, the area A of a sector of the circle with central angle
(in radians) is given by
Sprinkler System A sprinkler in a garden is set to spray water over a distance of 25 feet and rotates through an angle of
To calculate: The area of the region if the water is sprayed from a sprinkler which rotates through an angle of
Given Information:
The water is sprayed from a sprinkler which rotates through an angle of
Formula used:
In order to convert the angle from degree to radian, multiply the angle by
Calculation:
Consider the angle of rotation be
Multiply angle
The sprinkler sprays water over a distance or radius of
Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendental Functions
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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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