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In the circle shown below, ∠BAC is a central angle, and r is the length of AB.

https://lh3.googleusercontent.com/PWIO0Ql61c4y4mSwuTcNH2XLe5frUkGQK0AfTNkh2llwiBYaqh0JUbMgBphrk2P4XmTF9Dzvu1Qy4bCumKdm6UD3fmvm1Wb1y5YqxhfAwJc0cJxMZlouybFhT9AC9VbhdwJnIF6j

The area of the shaded sector is equal to 12r2θ. Which of the following must be true about the value of θ?

θ= the measure of ∠BAC in degrees.

θ= the measure of ∠BAC in radians

θ= the difference between 2π and the measure of ∠BAC in radians

θ= the difference between 360 and the measure of ∠BAC in degrees

 Feb 24, 2019
 #1
avatar+98060 
+1

Area of shaded sector is (1/2)r^2 θ

 

So

 

θ= the measure of ∠BAC in radians

 

 

cool cool cool

 Feb 24, 2019

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