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Francine drew the picture shown below on a piece of poster board. T 8 in. 8 in. 10 in. 8 in. Francine plans to color the interiors of the circle and the triangle blue. What is the approximate area of the parts of the picture that she will color blue?

Sagot :

We need to calculate the area of the circle and the triangle

We will use the following formulas

[tex]\begin{gathered} A_C=\pi\cdot r^2 \\ A_T=\frac{hb}{2} \end{gathered}[/tex]

Where,

Ac is the area of the circle

r is the radius, which is half a diameter, r = 8/2 = 4 in

At is the area of the triangle

h is the height = 8 in

b is the base = 8 in

Let's replace and solve

[tex]\begin{gathered} A_C=\pi\cdot4^2=16\pi=50.27 \\ A_T=\frac{8\cdot8}{2}=32 \end{gathered}[/tex]

Therefore, the total area that she will color is:

[tex]50.27+32=82.27[/tex]

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