Question

The measure of central angle RST is tt radians.
What is the area of the shaded sector?
O 411 units?
O 8 units?
O 16 units
O 2011 units?

Answer 1

The area of the shaded sector is $8\pi$ square units

The area of a sector is calculated using:

$A = \frac{\theta}{2}* r^2$

So, we have:

$A = \frac{\pi}{2}* 4^2$

Evaluate the exponent

$A = \frac{\pi}{2}* 16$

Evaluate the quotient

$A = 8\pi$

Hence, the area of the shaded sector is $8\pi$ square units

Read more about sector areas at:

https://brainly.com/question/22972014