This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Ili kupata mzingo wa duara, tunatumia formula , ambapo ni mzingo, ni pi, na ni rediasi. Katika swali hili, tunatumia .
a) Step 1: Tambua rediasi (). Rediasi ya duara ya kwanza ni .
Step 2: Tumia formula ya mzingo.
Step 3: Hesabu mzingo. Mzingo wa duara a) ni .
b) Step 1: Tambua rediasi (). Rediasi ya duara ya pili ni .
Step 2: Tumia formula ya mzingo.
Step 3: Hesabu mzingo. Mzingo wa duara b) ni .
c) Step 1: Tambua rediasi (). Rediasi ya duara ya tatu ni .
Step 2: Tumia formula ya mzingo.
Step 3: Hesabu mzingo. Mzingo wa duara c) ni .
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Ili kupata mzingo wa duara, tunatumia formula C = 2 r, ambapo C ni mzingo, ni pi, na r ni rediasi.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.