Answer:
20
Step-by-step explanation:
The mirror and the frame together have a radius of 6 inches, and since the diameter of the mirror is 8 inches, the radius of the mirror is 4 inches.
To find the area of just the frame, we need to subtract the area of the mirror from the area of the frame and mirror combined.
The area of the frame and mirror combined can be calculated as the area of a circle with a radius of 6 inches:
Area of frame and mirror = πr^2 = π(6)^2 = 36π square inches.
The area of the mirror can be calculated as the area of a circle with a radius of 4 inches:
Area of mirror = πr^2 = π(4)^2 = 16π square inches.
Therefore, the area of just the frame is:
Area of frame = Area of frame and mirror - Area of mirror
= 36π - 16π
= 20π square inches.
So, the area of just the frame is 20π square inches, which is approximately 62.83 square inches if we use 3.14 as an approximate value for π.
Hopefully this helps!