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Difficulty:
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In the figure above, points A, B, C lie on the circle shown. What is the value of y?
(A) 55
(B) 70
(C) 75
(D) 80
(E) 85
Attachment:
1.png [ 10.56 KiB | Viewed 3779 times ]
We are able to calculate the total circumference of the circle as 9x
Using the sector formula for arc length we can calculate for the central angle(z) as \(\frac{z}{360}=\frac{4x}{9x}\)
Central angle = 160
We can solve for the inscribed angle by applying rule; central angle = 2 times x inscribed angle ;
\(\frac{160}{2} = 80\)
Ans: D
Using the sector formula for arc length we can calculate for the central angle(z) as \(\frac{z}{360}=\frac{4x}{9x}\)
Central angle = 160
We can solve for the inscribed angle by applying rule; central angle = 2 times x inscribed angle ;
\(\frac{160}{2} = 80\)
Ans: D
General Discussion
02 Jan 2024, 02:57
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rahulp11
We are able to calculate the total circumference of the circle as 9x
Using the sector formula for arc length we can calculate for the central angle(z) as \(\frac{z}{360}=\frac{4x}{9x}\)
Central angle = 160
We can solve for the inscribed angle by applying rule; central angle = 2 times x inscribed angle ;
\(\frac{160}{2} = 80\)
Ans: D
Using the sector formula for arc length we can calculate for the central angle(z) as \(\frac{z}{360}=\frac{4x}{9x}\)
Central angle = 160
We can solve for the inscribed angle by applying rule; central angle = 2 times x inscribed angle ;
\(\frac{160}{2} = 80\)
Ans: D
Hey, how did you calculate the central angle having solved for x? Why is it 4x? Thanks in advance.
