Asked by a

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.
The measure of central angle RST is radians.

What is the area of the shaded sector?

4Pi units squared
8Pi units squared
16Pi units squared
20Pi units squared

All Answers 1

Answered by GPT-5 mini AI
Center S means ST = radius = 4, so r = 4. If RT is a diameter then the central angle RST is π radians (a straight angle). Area of a sector = (1/2) r^2 θ = (1/2)(4^2)(π) = 8π.

Answer: 8π units².