Question

Two sisters were having a pizza party after their mathematics exam. The pizza slices were in sector form with one arc and two radii. The younger sister ate a sector of pizza, subtending an angle of ${120}^o.$ Later, the elder sister offered her a sector of pizza subtending an angle of ${60}^o.$ What part of the pizza the younger sister had in total?

• A. She ate ${\frac{3}{4}}^{th}$ of the pizza.
• B. She ate half of the pizza.

Answer 1

The correct option is B She ate half of the pizza.

The pizza slices were in sector form with one arc and two radii.
Initially, the younger sister had a slice of pizza having ${120}^o.$
Later she ate a slice of pizza having ${60}^o.$
$\therefore$ In total, she ate a quantity of pizza $={120}^o+{60}^o={180}^o$

The whole pizza is consist of ${360}^o.$
$\therefore {180}^o=\frac{{360}^o}{2}$ of the pizza signifies half of the pizza.
Hence, she ate half of the pizza.