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2 years ago

The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc

Mathematics

1 answer:

aleksandrvk [35]2 years ago

8 0

Answer:

Step-by-step explanation:

32pi×360/2pi(8)=72

central angle= arc length 360/2pi×r

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Step-by-step explanation:

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

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2 years ago

The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc​

The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc