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Re: What is area of the sector ACBO in the circle above with center O, if [#permalink]
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Bunuel wrote:

What is area of the sector ACBO in the circle above with center O, if the radius of the circle is 6 and the length of the arc ACB is 2π?


A. \(6\pi\)

B. \(6\pi - 6\)

C. \(6\pi - 9\)

D. \(6\pi-\frac{25}{2}\)

E. \(6\pi-9\sqrt{3}\)


Attachment:
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1535558073928.jpg [ 51.45 KiB | Viewed 3157 times ]
Answer is A
Attachment:
1535558073928.jpg
1535558073928.jpg [ 51.45 KiB | Viewed 3157 times ]


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Re: What is area of the sector ACBO in the circle above with center O, if [#permalink]
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\(A = \frac{S}{2πR} * πR^2\)

S = Arc Length = 2π

R = radius = 6

\(A = \frac{2π}{2π6} * 6^2\) = \(\frac{2π}{12π} * 36\) = \(6π\)

:-)
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Re: What is area of the sector ACBO in the circle above with center O, if [#permalink]
Just need to remember 2 formulas to solve this,

1) Find @(Theta) using below formula.

Circumference of Arc =@/360 * 2 PIE R

2) Add value of in below equation.

Area of Sector = @/360 * PIE Rsquare
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Re: What is area of the sector ACBO in the circle above with center O, if [#permalink]
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