Question

https://harvestor.sooschools.com/media/g_geo_ccss_2016/13/img_geo_08_13_overlappingcircles2.gif

Find the area of segment CFD given the following information:
radius = 20in, area of ΔCBD = 178.2in2, and m∠CBD = 63°
Round your answer to the nearest hundredths if necessary.

41.71 in2
95.20 in2
89.10 in2
83.42 in2

Answer 1

Calculate the area of the sector BCFD as follows
\[a= (1/2)*r^2* \theta\]
where \[\theta\]
is the angle in radians
Then calculate the area of the segment by difference