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



Find the area each sector. Do Not round. Part 1. NO LINKS!! ​-example-1
User Forforf
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1 Answer

18 votes
18 votes

Answer:


\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

User Slashbin
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