Question

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

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

• A. ${60}^o$
• B. ${300}^o$
• C. It is an acute angle.
• D. It is a reflex angle.

Answer 1

Answer: (B), (D)

It is a reflex angle.

The total angle subtended by a circular pizza is ${360}^o.$
The pizza is divided into $6$ equal sectors about the center.
$\therefore$ Each sector will subtend $\frac{{360}^o}{6}={60}^o.$

Hence, Nova ate pizza corresponding to ${60}^o.$

The part of pizza yet left in terms of angle $={360}^o-{60}^o={300}^o$

As ${180}^o<{300}^o<{360}^o,$
${300}^o$ is a reflex angle.