The diameter of the first circle is 414 cm, which is 23 times the diameter of the second circle.
| September 18, 2021 | education
The diameter of the first circle is 414 cm, which is 23 times the diameter of the second circle. Find the radius of the second circle.
We know the diameter of one circle, and we also know how many times it is larger than the diameter of the second circle. With this data, you can calculate the diameter of the second circle:
D1 = 414 cm,
D1 = 23 D2.
That is:
414 = 23 D2.
D2 = 414/23.
D2 = 18.
The diameter of the circle corresponds to two radii:
D = 2R.
Means: R = 1/2 D.
Then:
R2 = 1/2 × 18 = 9.
Answer: the radius of the second circle is 9 cm.
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