Find the area of segment cfd given the following information:
radius = 8in, area of δcbd = 25.9in2, and m∠cbd = 54°
round your answer to the nearest hundredths if necessary.
4.26 in2
20.10 in2
3.23 in2
17.90 in2

4.26 in^2

Step-by-step explanation:

The area of the circle is: π*radius^2 = π*8^2 = 200.96 in^2

The area of the segment CBD of the circle is 54/360 times the area of the complete circle, that is, (54/360)*200.96 = 30.16 in^2 . This is the addition of area of ΔCBD and  area of segment CFD. Then, the area of the segment CFD is  30.16 in^2 -  25.9 in^2 = 4.26 in^2

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24