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22 Jun 2018, 01:27
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (00:54) correct
16%
(00:58)
wrong
based on 2377
sessions
History
Date
Time
Result
Not Attempted Yet
If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?
A. 20
B. 25
C. 40
D. 50
E. 100
(PS12542)
A. 20
B. 25
C. 40
D. 50
E. 100
(PS12542)
22 Jun 2018, 04:39
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Solution
Given:
- • The circumference of a circle inscribed in a square is 25π
To find:
- • The perimeter of the square
Approach and Working:
When a circle is inscribed in a square, the diameter of the circle is equal to the length of the side of the square
If r is the radius of the circle, then
- • 2πr = 25π
Or, 2r = 25
Therefore, we can say, length of the side of the square = 25
- • Perimeter of the square = 25 * 4 = 100
Hence, the correct answer is option E.
Answer: E
23 Jun 2018, 09:10
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Bunuel
We have the following:
The perimeter of the circle = 25π
We can see that the perimeter of the square is GREATER THAN the perimeter of the circle
25π ≈ (25)(3) ≈ 75
So, the perimeter of the square is GREATER THAN 25π
Check the answer choices....only one answer choice works.
Answer: E
Cheers,
Brent
