Answer:
The area of shaded region is 351.68 cm².
Step-by-step explanation:
[tex]\sf{\underline{\underline{Given :}}}[/tex]
- ➝ Radius of small circle = 3 cm
- ➝ Radius of big circle = 11 cm
[tex]\sf{\underline{\underline{To \: Find:}}}[/tex]
- ➝ Area of small circle
- ➝ Area of big circle
- ➝ Area of shaded region
[tex]\sf{\underline{\underline{Using\: Formula :}}}[/tex]
- ➝ Area of small circle = πr²
- ➝ Area of big circle = πR²
- ➝ Area of shaded region = Area of small circle - Area of big circle
[tex]\sf{\underline{\underline{Solution :}}}[/tex]
Finding the area of small circle by substituting the values in the formula :
- [tex]\red\implies[/tex] Area of small circle = πr²
- [tex]\red\implies[/tex] 3.14 × 3²
- [tex]\red\implies[/tex] 3.14 × 3 × 3
- [tex]\red\implies[/tex] 28.26cm²
Hence, the area of small circle is 28.26cm².
[tex]\rule{200}2[/tex]
Finding the area of big circle by substituting the values in the formula :
- [tex]\pink\implies[/tex] Area of big circle = πR²
- [tex]\pink\implies[/tex] 3.14 × 11²
- [tex]\pink\implies[/tex] 3.14 × 11 × 11
- [tex]\pink\implies[/tex] 379.94cm²
Hence, the area big circle is 379.94cm².
[tex]\rule{200}2[/tex]
Finding the area of shaded region by substituting the values in the formula :
- [tex]\orange\implies[/tex] Area of shaded region = Area of bigger circle - Area of smaller circle
- [tex]\orange\implies[/tex] 379.94 - 28.26 cm²
- [tex]\orange\implies[/tex] 351.68 cm²
Hence, the area of shaded region is 351.68 cm².
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
