Question

Which sector of the following pie chart represents the quarter of the whole chart.

• A. only $A$
• B. only $B$
• C. both $A$ and $B$
• D. only $C$

Answer 1

The correct option is C both $A$ and $B$

Given, the central angle of $A,B$ and $C$ are ${90}^{\circ },{90}^{\circ }$ and ${180}^{\circ }$ respectively.

We know that, the total central angle of a pie chart is ${360}^{\circ }.$

Fraction of the sector $A$ out of the whole $=\frac{{90}^{\circ }}{{360}^{\circ }}=\frac{1}{4}$

Fraction of the sector $B$ out of the whole $=\frac{{90}^{\circ }}{{360}^{\circ }}=\frac{1}{4}$

Fraction of the sector $C$ out of the whole $=\frac{{180}^{\circ }}{{360}^{\circ }}=\frac{1}{2}$

Hence, both sector $A$ and $B$ represent the quarter of the whole chart, whereas sector $C$ represent the half of the whole chart.

Option (c.) is the correct choice.