Answer:
Area of second circle = 56cm² + [tex]\pi r^{2}[/tex]
Area of second circle = 2179.71cm²
Step-by-step explanation:
let the radius of the small circle be r and that of the big circle be R
Area small circle = [tex]\pi r^{2}[/tex]
Area Big circle = [tex]\pi R^{2}[/tex]
Area Big circle - Area small circle = 56cm²
[tex]\pi R^{2}[/tex]-[tex]\pi r^{2}[/tex] =56cm²
The second circle is the bigger circle.
Area of second circle -[tex]\pi r^{2}[/tex] =56cm²
Area of second circle = 56cm² + [tex]\pi r^{2}[/tex]
r =26cm
Area of second circle = 56cm² + [tex]\pi r^{2}[/tex]
Area of second circle = 56cm² + [tex]\pi* 26^{2}[/tex]
Area of second circle = 56cm² + [tex]\pi* 26^{2}[/tex]
Area of second circle = 56cm² + 2123.71
Area of second circle = 2179.71cm²