IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.

What is the area of the shaded region of the circle?
6 ft
120°

A. 67 ft?
B. 127 ft?
C. 247 ft?
D. 367 ft?
(Sorry it automatically converts)


What Is The Area Of The Shaded Region Of The Circle 6 Ft 120 A 67 Ft B 127 Ft C 247 Ft D 367 Ft Sorry It Automatically Converts class=

Sagot :

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.