Question

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?

Answer 1

The correct answer is second option.

θ = measure <BAC in radians.

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.

Answer 2

ANSWER

The measure of <BAC is in radians

EXPLANATION

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



`(1)/(2) {r}^(2) \theta`

where


`\theta`
is the angle of the sector in radians.


The correct answer is B.