S Q4. [5 marks] I have 100 m of fencing and I want to fence off an area in the middle of a large field in the shape of a sector of a circle. [A sector is shaped like a piece of pizza or a piece of pumpkin л.] Find the ra- dius r and the central angle of the sector that maximizes the area. Draw a rough diagram of what the area looks like and mark the length of the "sides". r le r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 29E
Question
S
Q4. [5 marks] I have 100 m of fencing and I want to fence off an area in the middle of a large field in the
shape of a sector of a circle. [A sector is shaped like a piece of pizza or a piece of pumpkin л.] Find the ra-
dius r and the central angle of the sector that maximizes the area. Draw a rough diagram of what the
area looks like and mark the length of the "sides".
r
le
r
Transcribed Image Text:S Q4. [5 marks] I have 100 m of fencing and I want to fence off an area in the middle of a large field in the shape of a sector of a circle. [A sector is shaped like a piece of pizza or a piece of pumpkin л.] Find the ra- dius r and the central angle of the sector that maximizes the area. Draw a rough diagram of what the area looks like and mark the length of the "sides". r le r
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