Step-by-step explanation:
To find the area of the frame, we first need to find the area of the entire frame and picture, then subtract the area of just the picture opening.
Area of entire frame and picture:
= π * (radius of frame)^2
= π * (30 cm)^2
Area of just the picture opening:
= π * (radius of picture opening)^2
= π * (12 cm)^2
Now, we can subtract the area of the picture opening from the area of the entire frame and picture:
Area of frame = Area of entire frame and picture - Area of just the picture opening
= π * (30 cm)^2 - π * (12 cm)^2
Now, you can calculate the numerical value.