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

Which of the following would be used to derive the formula for the area of sector BAC?

see attached picture and choices

In the circle shown below BAC is a central angle r is the length of AB and θ is the measure of BAC in degrees Which of the following would be used to derive the class=
In the circle shown below BAC is a central angle r is the length of AB and θ is the measure of BAC in degrees Which of the following would be used to derive the class=

Respuesta :

Answer:

Option 4 is the right answer.

Step-by-step explanation:

As we know in the given circle area of minor segment having an angle ∅ and radius of the circle r is shown by

Area of the minor segment / Area of the circle = ∅ / 360° (∅ is in degrees)

Area of the minor segment / πr² = ∅ / 360°

Area of the minor segment = (∅ / 360°) × πr²

Therefore Option 4 is the right answer.