33. persevere with problems the figure at the right is composed of a circle
and a square. the circle touches the square at the midpoints of the
four sides
cm
a. what is the length of one side of the square?
b. the formula a = r is used to find the area of a circle. the formula
a = 4 can be used to find the area of the square. write the ratio of
the area of the circle to the area of the square in simplest form.
ccomplete the table
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-៩)
2
3
area of grde (units)
122 ore
length of 1 side of
the square
area of square
42 616
(area of circle
ratio
of square)
d. what can you conclude about the relationship between the areas of the
circle and the square?
2
lesson 3 multiply and divide monomials

a ) 2 r,  b ) A c : A sq = π : 4, c ) The table: Area of the circle: 4 π , 9 π, 16 π, 4 r² π  //  Length of 1 side of the square: 4, 6, 8, 4 r // Area of the square: 16, 36, 64, 16 r² // Ratio: π/4, π/4, π/4, π/4.

Step-by-step explanation:

a ) The side of the square is twice the radius of the circle.

Therefore 2 r .

b ) A circle : A square = r² π : 4 r² = π : 4 = π / 4 ( or 3.14 : 4 )

c ) The area of the circle: A ( 2 ) = 2² π = 4 π

A ( 3 ) = 3² π = 9 π

A ( 4 ) = 4² π = 16 π

A ( 2 r ) = ( 2 r )² π = 4 r² π

The length of 1 side of the square:

L ( 2 ) = 2 · 2 = 4

L ( 3 ) = 2 · 3 = 6

L ( 4 ) = 2 · 4 = 8

L ( 2 r ) = 2 · 2 r  = 4 r

Area of the square: A ( 4 ) = 4² = 16,  A ( 6 ) = 6² = 36, A ( 8 ) = 8² = 64, A ( 4 r ) = ( 4 r ) ² = 16 r²

Ratio:  4π : 16 = π/4

9 π : 36 = π/4

16 π : 64 = π/4

4 r² π / 16 r² = π/4

A.Greg will need  mixed 2 cups of yellow paint with each cup of blue paint.

B. cup of blue paint

C.$9

Step-by-step explanation:

We are given that the ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1

A.

Ratio of number of cups of yellow paint to the number of cups of blue paint=2:1

Number of cups of yellow paint =2

Number of blue paint=1

It means Greg will need  2 cups of yellow paint mixed with each cup of blue paint.

B.2 cup of yellow paint  need cup of blue paint =1

1 cup of yellow paint need cup of blue paint=

Hence, the number of blue cups is should Greg add to each cup of yellow paint to make the shade of green.

C.If Greg purchased number of cups of yellow paint =6

Cos of 6 cup=$54

Cost of each cup =$9

Hence, the unit price per cup of yellow paint is $9.