MATHEMATICS HIGH SCHOOL

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.
Find the area of segment CED given the following information: - 1

Answers

Answer 1
Answer: 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
Answer 2
Answer:

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 = (72)/(360)\pi (6)^2

= (2592\pi)/(360)

= (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.

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