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Joined: 02 Nov 2016
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Given Kudos: 5806
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If a circle’s circumference is 10π centimeters long, what is the area
[#permalink]
24 Mar 2020, 01:18
24 Mar 2020, 01:18
Expert Reply
Show timer
00:00
A
B
C
D
E
Difficulty:
5%
(low)
Question Stats:
100% (00:26) correct
0%
(00:00)
wrong
based on 33
sessions
If a circle’s circumference is \(10π\) centimeters long, what is the area of the circle, in square centimeters?
(A) \(12.5\)
(B) \(5π\)
(C) \(22.5\)
(D) \(25π\)
(E) \(10π\)
(A) \(12.5\)
(B) \(5π\)
(C) \(22.5\)
(D) \(25π\)
(E) \(10π\)
Re: If a circle’s circumference is 10π centimeters long, what is the area
[#permalink]
26 Mar 2020, 03:59
26 Mar 2020, 03:59
1
Kudos
We know:
Circumference = Distance (d) x π = 10π
Radius = Distance / 2 = 10/2 = 5
Area = A = π x r^2 = π x 5^2 = 25π
Correct Answer:
D
Circumference = Distance (d) x π = 10π
Radius = Distance / 2 = 10/2 = 5
Area = A = π x r^2 = π x 5^2 = 25π
Correct Answer:
D
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3723
Given Kudos: 165
Re: If a circle’s circumference is 10π centimeters long, what is the area
[#permalink]
26 Mar 2020, 10:49
26 Mar 2020, 10:49
1
Kudos
Expert Reply
Solution
Given
In this question, we are given that
- • A circle’s circumference is \(10π\) centimeters long
To find
We need to determine
- • The area of the circle, in square centimeters
Approach and Working out
If we assume the radius of the circle to be R cm, then we can write
- • \(2πR = 10π\)
Or, \(R = 5\) cm
Hence, the area of the circle = \(πR^2 = π(5)^2 = 25π\) square cm
Thus, option D is the correct answer.
Correct Answer: Option D
