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Answer:
The area of the shelf is 86.59 square inches
Step-by-step explanation:
The formula of the area of the circle is A = π r², where
- r is the radius of the circle
∵ The corner shelf is of a circle
→ That means its area is the area of the circle
∴ The area of the corner shelf = × area of the circle
∵ Area of the circle = π r²
∴ The area of the corner shelf = × π r²
∵ The radius of the shelf is 10.5 inches
∴ r = 10.5 inches
→ Substitute the values of r in the formula of the area
∴ The area of the corner shelf = × π × (10.5)²
∴ The area of the corner shelf = 86.59014751
→ Round it to the nearest hundredth
∴ The area of the corner shelf = 86.59 square inches
∴ The area of the shelf is 86.59 square inches