Question

A pizza parlor cuts its $14$-inch (diameter) pizzas into $8$ equal slices. What is the size (in square inches) of each slice?

• A. $5.5$
• B. $19.2$
• C. $44.1$
• D. $60.4$
• E. $77.0$

Answer 1

The correct option is B $19.2$

Given, $2r=14$ inches

$\therefore r=7$ inches

Circumference $=2\pi r=2\pi \times 7=14\pi$ inches

Area of pieces $=\frac{1}{2}{r}^2\theta =49\times \frac{1}{2}\times \frac{\pi }{4}=\frac{49\pi }{8}=19.2{\text{inch}}^2$

Or Area of circle $=\pi r^2=49\pi$

$\therefore$ area of each pieces $=\frac{49\pi }{8}=19.2{\text{inch}}^2$