9514 1404 393
Answer:
434 -49π ≈ 280.1 cm²
Explanation:
The shaded area is the difference between the enclosing rectangle area and the circle area.
The rectangle is 14 cm high and 31 cm wide, so has an area of ...
A = WH
A = (31 cm)(14 cm) = 434 cm²
The circle area is given by ...
A = πr²
A = π(7 cm)² = 49π cm²
__
The shaded area is the difference of these, so is ...
shaded area = rectangle - circle
= (434 - 49π) cm² ≈ 280.1 cm²