Questions: Circonferenzaproblemi Esercizio n° 1 Per ciascun angolo al centro, disegna un angolo alla circonferenza e determina la sua ampiezza. a) b) angoli al centro

Circonferenzaproblemi

Esercizio n° 1
Per ciascun angolo al centro, disegna un angolo alla circonferenza e determina la sua ampiezza.
a)
b)
angoli al centro

Transcript text: Circonferenza_problemi Esercizio $\mathrm{n}^{\circ} 1$ Per ciascun angolo al centro, disegna un angolo alla circonferenza e determina la sua ampiezza. a) b) angoli al centro

Solution

Solution Steps

Step 1: Analyze Figure a)

The central angle is 112°. An inscribed angle that intercepts the same arc as the central angle will be half the measure of the central angle.

Step 2: Calculate Inscribed Angle for a)

The inscribed angle will measure 112°/2 = 56°. An example inscribed angle would have its vertex on the circumference and its sides intercepting the same arc as the central angle.

Step 3: Analyze Figure b)

The central angle is 230°. An inscribed angle intercepting the same arc will be half this measure.

Step 4: Calculate Inscribed Angle for b)

The inscribed angle will measure 230°/2 = 115°. An example would be an angle with its vertex on the circumference and sides intercepting the same arc as the 230° central angle.

Final Answer:

a) 56° b) 115°

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