Question

Ellie was giving a treat to herself after her maths exam. She divided a pizza into $6$ equal parts about the center.

She ate a slice of pizza.
Comment on the part of pizza yet to be eaten in terms of angle.

• A. ${60}^o$
• B. ${300}^o$
• C. ${210}^o$
• D. ${270}^o$

Answer 1

The correct option is B ${300}^o$

$\text{Ellie divided the pizza into 6 equal}$ $\text{parts.}$

$\text{One part measures}\frac{1}{6}\text{of the circle.}$

$\text{For finding the angle subtended by}$ $\text{part of the circle, we need to convert}$ $\text{the fraction}\frac{1}{6}\text{into an equivalent}$ $\text{fraction with the denominator as 360.}$

$⟹$ $\frac{1\times 60}{6\times 60}=$ $\frac{60}{360}$

$\text{As one part of a circle measures}$ $\text{1 degree of an angle, 60 parts of the}$ $\text{circle measure 60 degrees of the circle.}$

$\text{So, we can write}\frac{60}{360}\text{part of a circle}$ $\text{as}{60}^{\circ }\text{.}$



$\therefore$ $\text{The part of pizza yet left in terms}$ $\text{of angle :}$
= ${360}^{\circ }-{60}^{\circ }={300}^{\circ }$