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# What is area of the sector ACBO in the circle above with center O, if

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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. $$6\pi-9\sqrt{3}$$

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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

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

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