Find the area of segment CED given the following information:

radius = 6in, area of ΔCAD = 17.18in2, and m∠CAD = 72°

Round your answer to the nearest hundredths if necessary.

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Verified Answer :

nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-03-06T15:15:29-05:00

Area of sector CAD = 72 / 360 x pi x 6^2 = 7.2pi = 22.6195 in^2

Therefore, area of segment CED = 22.6195 - 17.18 = 5.44 in^2

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-03-07T00:08:30-05:00

Answer: 5.43 square inches

Step-by-step explanation:

Here, the area of triangle ACD = 17.18 square inches,

And, the radius of the triangle having center A = 6 inches

The central angle of the arc CED = 72°

Hence, the area of the sector CAD = \(\frac{72}{360}\pi (6)^2\)

= \(\frac{2592\pi}{360}\)

= \(\frac{8138.88}{360}\)

= \(22.608\) square inches

Since, the area of CED = The area of sector CAD - Area of triangle ACD

= 22.608 - 17.18

= 5.428 ≈ 5.43 square inches.