9514 1404 393
Answer:
122.66 in²
Explanation:
The area of a circle is given by the formula ...
A = πr²
Here, we have a radius of 12.5 in, and a quarter circle. Its area will be ...
(1/4)(π)(12.5 in)² = 3.14(39.0625 in²) ≈ 122.66 in²
The area of the shelf is about 122.66 square inches.