the area of a circle is 16 pi inches with a square frame around it that is 2 inches wide. what is the total area of the circle and square frame

Question

You have a sqaure that surrounds a circle. If the area of the circle is 16 pi squads inches and the square frame around that circle is 2 inches wide what is the total area of the circle and the square frame combined?

Answer 1

A = πr²               formula

16π = πr²           substitution

16 = r²               divide both sides by π
±4 = r

 

The radius of the circle is 4. Add 2 more for the radius of the circle and the frame.

 

Now calculate the area using the formula.