Question

The fan below has been stretched open as far as it will go to form a semi-circle.

Answer 1

Answer:

Area of each sector=$12.6cm^2$

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=$\frac{1}{2}\pi r^2$

Using the formula

Area of fan=$\frac{1}{2}\pi (12)^2=72 \pi cm^2$

Area of each sector=$\frac{area\;of\;fan}{Total\;number\;of\;sectors}$

Area of each sector=$\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2$

Where $\pi=3.14$

Area of each sector=$12.56cm^2\approx 12.6 cm^2$