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andriy [413]
3 years ago
13

I NEED HELP PLS I WILL MARK BRAINLIEST

Mathematics
1 answer:
ANEK [815]3 years ago
8 0

Answer:

\approx 11.2\:\mathrm{in}

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 2r\pi\cdot \frac{\theta}{360}, where r is the radius of the circle and \theta is the angle of the arc.

In this problem, we're given:

\theta = 40^{\circ},\\r=16

Substituting given values, we get:

2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}

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