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The circle above has area 25.
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20 Sep 2018, 16:35
20 Sep 2018, 16:35
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Question Stats:
66% (00:59) correct
33% (00:34) wrong based on 130 sessions
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The circle above has area 25.JPG [ 18.71 KiB | Viewed 7642 times ]
The circle above has area 25.
Quantity A |
Quantity B |
The length of chord AB |
\(10\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: The circle above has area 25.
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21 Sep 2018, 07:04
21 Sep 2018, 07:04
2
sandy wrote:
Attachment:
Capture.JPG
The circle above has area 25.
Quantity A |
Quantity B |
The length of chord AB |
\(10\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Area of circle = πr² (where r = radius)
So, we can write: πr² = 25
Approximate π to write: 3r² ≈ 25 [yes, we often use 3.14 as the approximation for π, but you'll see why 3 works just as well]
Divide both sides by 3 to get: r² ≈ 25/3
Simplify: r² ≈ 8.3333...
So, r ≈ √8.33333
Since √9 = 3, we know that √8.33333 is less than 3
This means the radius is less than 3, which means the DIAMETER is less than 6
So, the greatest possible length of chord AB is still less than 6
We get:
Quantity A: some number less than 6
Quantity B: 10
Answer: B
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Re: The circle above has area 25.
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18 Jan 2019, 16:13
18 Jan 2019, 16:13
Even the dia is 7 it is less than 10 hence B
