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

The area of the shaded sector is equal to 1/2r^2θ. Which of the following must be true about the value of θ?

In the circle shown below BAC is a central angle and r is the length of AB The area of the shaded sector is equal to 12r2θ Which of the following must be true a class=
In the circle shown below BAC is a central angle and r is the length of AB The area of the shaded sector is equal to 12r2θ Which of the following must be true a class=

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kudzordzifrancis
ANSWER

The measure of <BAC is in radians

EXPLANATION

In radian measure the area of a sector is calculated using the formula,


[tex] \frac{1}{2} {r}^{2} \theta[/tex]

where

[tex] \theta[/tex]
is the angle of the sector in radians.


The correct answer is B.
imlittlestar

Answer:

The correct answer is second option.

θ = measure <BAC in radians.

Step-by-step explanation:

Formula:-

The area of sector with central angle θ and radius r

Area = 1/2 r²θ

Where θ is in radians.

It is given that,

The area of the shaded sector is equal to 1/2r²θTherefore the correct answer is option 2.

θ = measure <BAC in radians.

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