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The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.
What is the radius of the circle?
Answer: 5
Explanation:
The circumference of a circle = 2πr and the area of a circle = πr 2 . If the ratio of the number of linear units in the circumference to the number of square units in the area is 2:5, then five times the circumference is equal to twice the area:
5 × 2πr = 2(πr) 2
10πr = 2πr 2
10r = 2r 2
5r = r 2
r = 5
The radius of the circle is equal to 5.
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