function notation A circle has a radius of 26 cm. A second circle has an area that is 56 square cm more than the first circle. Represent the area of the second circle.

Respuesta :

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