Question

Find the area each sector. Do Not round. Part 1. NO LINKS!!

​

Answer 1

`\textsf{Area of a sector (angle in degrees)}=(\theta)/(360 \textdegree)\pi r^2`

`\textsf{Area of a sector (angle in radians)}=\frac12r^2\theta`

17) Given:

• 
  `\theta` = 240°
• r = 16 ft

`\textsf{Area of a sector}=(240)/(360)\pi \cdot 16^2=(512)/(3)\pi \textsf{ ft}^2`

19) Given:

• 
  `\theta=(3 \pi)/(2)`
• r = 14 cm

`\textsf{Area of a sector}=\frac12\cdot14^2 \cdot (3\pi)/(2)=147 \pi \textsf{ cm}^2`

21) Given:

• 
  `\theta=( \pi)/(2)`
• r = 10 mi

`\textsf{Area of a sector}=\frac12\cdot10^2 \cdot (\pi)/(2)=25 \pi \textsf{ mi}^2`

23) Given:

• 
  `\theta` = 60°
• r = 7 km

`\textsf{Area of a sector}=(60)/(360)\pi \cdot 7^2=(49)/(6)\pi \textsf{ km}^2`