Two circles with a radius of 10 cm and 6 cm externally touch each other What is the distance between the centers of these circles
Let there be given two circles with centers O1 and O2 and radii R1 = 10 cm, R2 = 6 cm, respectively. They touch each other at point K. Let’s find the distance between O1 and O2.
The shortest distance from point O1 to O2 will pass through point K, and O1O2 = O1K + KO2. The shortest distance from the center of the circle to point K is the radius of the corresponding circle, O1K = R1, KO2 = R2.
Let’s find О1О2:
O1O2 = O1K + KO2 = R1 + R2 = 10 + 6 = 16 cm.
Answer: the distance between the centers of the circles is 16 cm.
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