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Artemon [7]
3 years ago
14

Jarron has a piece of chalk tied to the end of a

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer: A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.

How should this string be cut so that the sum of the areas is a minimum .

:  

Let x = the circumference of the circle

then

(24-x) = the perimeter of the square

:

Find the area of the circle

find r

2*pi*r = x

r =  

Find the area of the circle

A =  

A =  

A =  sq/cm, the area of the circle

:

Find the area of the square

A =  sq/cm the area of the square

The total area

At =  +  

Graph this equation, find the min

Min occurs when x=10.6 cm

cut string 10.6 cm from one end

Step-by-step explanation: Hope I help out alot (-: :-)

yan [13]3 years ago
7 0

Answer:

F- 153.86 in²

Step-by-step explanation:

Area = 3.14 × 7²

153.86 in²

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