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6 votes
6 votes
5. Alex mounts the clock on a wood

base with the shape shown at the
right. What is the area of the wood
base?

5. Alex mounts the clock on a wood base with the shape shown at the right. What is-example-1
User Slobodan Kovacevic
by
2.9k points

1 Answer

12 votes
12 votes

9514 1404 393

Answer:

487.2 in²

Explanation:

The area of the semicircle is ...

A = (1/2)πr² . . . . . where r is half the diameter

A = (1/2)π(9 in)² = 40.5π in² ≈ 127.2 in²

The area of the rectangle is ...

A = bh

A = (18 in)(20 in) = 360 in²

Then the total area is ...

total area = semicircle area + rectangle area

= 127.2 in² +360 in² = 487.2 in² . . . . . area of the wood base

User Carl Binalla
by
2.9k points
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