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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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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