Question

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?

Answer 1

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

We will use the following formulas

`\begin{gathered} A_C=\pi\cdot r^2 \\ A_T=(hb)/(2) \end{gathered}`

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

`\begin{gathered} A_C=\pi\cdot4^2=16\pi=50.27 \\ A_T=(8\cdot8)/(2)=32 \end{gathered}`

Therefore, the total area that she will color is:

`50.27+32=82.27`