17. Find the radius of a circle whose circumference is equal to the sum of the circumference of three circles radii are 1 cm, 2 cm and 3 cm.
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Step-by-step explanation:
Given :
Circumference of three circles radii are 1 cm, 2 cm and 3 cm.
Find :
The radius of a circle.
Solution :
Let the r1 = 1, r2 = 2, r3 = 3.
Circumference of a circle = 2πr1 + 2πr2 + 2πr3
➡ 2πr = 2π ( r1 + r2 + r3)
➡ 2πr = 2π ( 1 + 2 + 3)
➡ r = 6 cm.
Hence :
The radius of a circle is 6 cm.
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