Question

What is the area of a sectorwhen 0= /12radians and r= 4?

Answer 1

Given: A sector with a central angle-

`\theta=(\pi)/(12)\text{ radians}`

And the radius of 4 units.

Required: To determine the area of the sector.

Explanation: The area of the sector is given by the formula-

`Area=(1)/(2)\theta r^2`

Substituting the values into the formula as-

`\begin{gathered} Area=(1)/(2)((\pi)/(12))(4^2) \\ =(2\pi)/(3)\text{ sq units} \end{gathered}`

Final Answer: The area of the sector is-

`(2\pi)/(3)`