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SSSSS [86.1K]
3 years ago
9

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
Let L be the length of an arc subtended by an angle of \theta on a circle of radius r. Then the ratio of the arc's length to its subtended angle is proportional with the circle's entire circumference to one complete revolution:

\dfrac{2\pi r}{2\pi}=\dfrac{L}{\theta}

Solving for L yields the formula for arc length of a circular arc,

L=r\theta

where \theta is in radians. To convert to degrees, use the conversion factor \dfrac{180^\circ}{\pi\text{ rad}}.

L=4\times\left(72^\circ\times\dfrac{\pi\text{ rad}}{180^\circ}\right)=4\times\dfrac{2\pi}5=\dfrac{8\pi}5\approx5.0265
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Supplementary angles always add up to 180 degrees. TRUE OR FALSE
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Answer:

yes this is true.

Supplementary angles always add up to 180°.

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3 years ago
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Can u plz help meh with this 6th grade math. U have to write an algebraic equation and solve. Only solve 2, 3, 4, 7, 8. Thank Yo
ra1l [238]
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3 years ago
Toko follows a budget to buy supplies to paint his room. He spends 1/2 of his budget on a roller, a tray, and tape. He spends $1
Natasha_Volkova [10]
The answer is $36.

B - budget
So the calculation is as following:
B= \frac{1}{2}B + 12.27 +  \frac{3.82}{ \frac{2}{3} } = \frac{1}{2}B + 12.27 + \frac{3.82*3}{2}=   \frac{1}{2}B + 12.27 +5.73
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3 0
3 years ago
A.1.5
telo118 [61]

Answer:

x=50 y=10

Step-by-step explanation:

8 0
3 years ago
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Please help and thank you!!!
Jlenok [28]

Answer:

Step-by-step explanation:

12: 8,700

13: 42

14: 70,000

15: 5,000,000,000

16: 2,210

17: 34,100

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19: 149

20: 290,000

6 0
3 years ago
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