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3 years ago

What is the area of the shaded region?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

9514 1404 393

Answer:

434 -49π ≈ 280.1 cm²

Step-by-step 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

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