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Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

A)
0.52 in2

B)
3.66 in2

C)
25.64 in2

D)
128.22 in2

*I would like to know how you did it too, it would really help me*

Find the area of the blue sector Use 314 for pi and round to the nearest hundredth A 052 in2 B 366 in2 C 2564 in2 D 12822 in2 I would like to know how you did i class=

Respuesta :

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta\pi r^2}{360}\qquad \begin{cases} \theta=\textit{angle in degrees}\\ r=radius \end{cases}[/tex]

notice your picture, you have both, so, just plug them in
calculista

Answer:

Option C [tex]25.64\ in^{2}[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ in[/tex]

substitute

[tex]A=\pi(7)^{2}=49\pi\ in^{2}[/tex]

Remember that

[tex]360[/tex] degrees subtends the complete area of the circle

so

by proportion

Find the area of the blue sector for an angle of [tex]60[/tex] degrees

[tex]\frac{49\pi}{360}=\frac{x}{60}\\ \\x={49\pi*60/360[/tex]

[tex]x=25.64\ in^{2}[/tex]

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