Please help immediately A wire of length 8m is bent into the form of a sector of a circle.
find the maximum possible area.

clue:the question is based on the topic application of differentiation.

please help for brainliest

Let a = arc distance of the sector
let r = radius of the circle

a + 2r = 8
a = (8-2r)

Find the portion of the circle in the sector (arc/circumference)

a/2r •r

Replace a with ( 8-2r)

(8-2r/2•square root • r)

Simply

(8-r/square root •r)

( 4-r) / square root R

Find the area of the sector
(4-r)/square root •r • square root •r ^2

Cancel pi*r

A = (4-r) * r
A = -r^2 + 4r

Max of this quadratic equation occurs at the axis of symmetry; x=-b/(2a)

R=-4/2•(-1)

R= 2 cm

Find the max area

A = -2^2 + 8(2)
A = -4+ 16
A = 12 sq cm max area

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