natty9
Answered

To the nearest tenth, what is the area of the shaded segment when JA=8ft ??

A. 27.7 ft squared
B. 33.5 ft squared
C. 5.8 ft squared
D. 13.8 ft squared

To the nearest tenth, what is the area of the shaded segment when JA=8ft ?? A. 27.7 ft squared B. 33.5 ft squared C. 5.8 ft squared D. 13.8 ft squared class=

Answer :

j4cek
[tex]A=\dfrac{1}{6}\pi 8^2-\dfrac{8^2\sqrt{3}}{4}\approx 5.8\;[ft^2][/tex]
Answer: C. 5.8 ft squared

Answer : The area of the shaded segment is 5.8 ft squared.

Explanation :

Given that,

Length of JA = 8 ft

We have to find the area of the shaded segment. It is given by :

Area of the shaded segment = area of sector - area of the triangle

[tex]A_{seg}=\dfrac{\theta}{360}\pi r^2-\dfrac{1}{2}r^2sin\theta[/tex]

[tex]A_{seg}=\dfrac{60}{360}\times \dfrac{22}{7}\times (8)^2-\dfrac{1}{2}\times (8)^2sin60[/tex]  

[tex]A_{seg}=5.8\ ft^2[/tex]

or

[tex]A_{seg}=5.8\ ft\ squared[/tex]

So, the correct option is (C) " 5.8 ft squared".

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