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Gre4nikov [31]
3 years ago
11

How do I find the arc length with given radius & central angel?

Mathematics
1 answer:
ella [17]3 years ago
8 0

The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure \theta and the circle has radius r, then the arc has length \ell such that

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

where \theta is given in radians. Then

\ell=r\theta

If \theta is given in degrees, then

\dfrac{\ell}\theta=\dfrac{2\pi r}{360}\implies\ell=\dfrac{\theta\pi r}{180}

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A running group has 38 members. Each group member completed half marathon (13.1 miles). The average time to complete is 110 minu
Vikki [24]

Answer:

They took 4,180 minutes total to complete the course.

Step-by-step explanation:

The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:

total time = average*number of members = 110*38 = 4180 minutes

They took 4,180 minutes total to complete the course.

8 0
3 years ago
Determine the value of x in each triangle
tensa zangetsu [6.8K]

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

8 0
2 years ago
Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.
Agata [3.3K]
Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4

Therefore, d = 2(4) = 8 inches.
5 0
3 years ago
Read 2 more answers
An amphitheatre has 24 seats in the first​ row, 28 in the​ second, 32 in the​ third, and so​ on, for 29 rows. How many seats are
melomori [17]
The answer is 2,320 seats in the amphitheater. Since the seats are increasing at a rate of 4 more seats each row, then just add 4 to the number for each past row starting at 32 since that's where the rest is unknown. Once you find all he numbers just add them up to get your answer.
I hope I helped!
3 0
3 years ago
Franklin has three coins, two fair coins (head on one side and tail on the other side) and one two-headed coin. He randomly pick
Rainbow [258]

Answer:

<h2>  B and C are not independent events </h2>

Step-by-step explanation:

This is a probability question, basically on independent events.

B and C are said to be independent if the occurrence of either event does not affect the occurrence of the other.

And now considering the fact that C will always present a head any way anyhow, the occurrence

of C will affect the outcome of B and C.

<em>Hence B and C are not independent events</em>

6 0
3 years ago
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