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25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.

25. Multi-A carpenter is making a tray to fit between two circular pillars in the-example-1
User DaoLQ
by
7.8k points

1 Answer

4 votes

Answer:

21.5 feet.

Explanation:

Calculate the length of a curved edge.

s =

m

360

· 2πr Use the formula for arc length.

=

90

360

· 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

User Nijah
by
7.5k points
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