Question

A circular pizza into 3 equal parts, one piece of pizza is taken out. Estimate the degree measure of the single piece of pizza and convert the measure into radians. What is the radian measure of the angle of the remaining part of pizza?

Answer 1

The pizza is circular in shape,which means the pizza has a total of 360° angle.

Now,the three pieces are equal in shape. Radian of the remaining pizza = 240° x 1/180° = 40/3 rad

So,degree of one piece = 360°/3 = 120° Radian of one piece = 120° x 1/180° = 2n/3 rad

Degree of the remaining pizza = 360°-120º = 240°

Hence, the degree of one piece of pizza is 120° and radian measurement of the one piece of the pizza is 2n/3 rad. And,radian measurement of the remaining pizza is 41/ 3 rad.