A circular picture is 8 inches in diameter.

Part A
What is the area of the picture in square inches?

A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?

A. 4π square inches
B. 12π square inches
C. 36π square inches
D. 40π square inches

Part A :

Area = π*r² = π(d/2)² = π*(8/2)² =

π*4² = π*16 square inches

Part B:

d=8+4 = 12 and r = d/2 = 6 inches

We know :

Area = π*r²

Area = π*6²

=36π

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it