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brebrechelle
Answered

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 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 ho class=

Verified Answer :

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

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

calculista

Answer:

Option C \(25.64\ in^{2}\)

Step-by-step explanation:

we know that

The area of a circle is equal to

\(A=\pi r^{2}\)

we have

\(r=7\ in\)

substitute

\(A=\pi(7)^{2}=49\pi\ in^{2}\)

Remember that

\(360\) degrees subtends the complete area of the circle

so

by proportion

Find the area of the blue sector for an angle of \(60\) degrees

\(\frac{49\pi}{360}=\frac{x}{60}\\ \\x={49\pi*60/360\)

\(x=25.64\ in^{2}\)

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