Answered: Find the area of the sector of a circle…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 61RE

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Question

Find the area of the sector of a circle with radius 12 miles formed by a central angle of 200°:

square miles_________?

The restaurant at the top of a very tall building in Seattle rotates 0.99 revolutions every hour. Sydney sits 19.5 meters from the center of the restaurant near a window.

(a1) Through how many radians does Sydney turn in 104 minutes?
Report the answer accurate to 2 decimal places:
(approximate) angle =_______ rads?
Hint: 1 revolution = 2π radians

(b1) How far does Sydney move in 104 minutes?
Report the answer accurate to 2 decimal place:
(approximate) distance =______ meters?

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