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14.13

8) Find the area of the shaded region. (use II =
3.14)
28 cm
8 cm
16 cm

14.13 8) Find the area of the shaded region. (use II = 3.14) 28 cm 8 cm 16 cm-example-1

1 Answer

4 votes

9514 1404 393

Answer:

397.76 cm^2

Explanation:

The area of the shaded region is the rectangle area less the area of the circle with diameter 8 cm. The area of the rectangle is

A = LW . . . . for length L and width W

The area of the circle is ...

A = π/4d^2 . . . . . for diameter d

Then the shaded area is ...

A = (28 cm)(16 cm) - (π/4)(8 cm)^2 = 448 cm^2 -50.24 cm^2

A = 397.76 cm^2

User KimHafr
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