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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.
A. 4.26 in2
B. 20.10 in2
C. 3.23 in2
D. 17.90 in2

Find the area of segment CFD given the following information radius 8in area of ΔCBD 259in2 and mCBD 54 Round your answer to the nearest hundredths if necessary class=

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Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π[tex]r^{2}[/tex]

The area of the sector DBC = (54/360)*3.14*[tex]8^{2}[/tex]

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

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