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ki77a
3 months ago
8

In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?

Mathematics
2 answers:
Svet_ta [12.7K]3 months ago
7 1
The solution to this problem is:

In a circle, when an arc of 60 centimeters corresponds to an angle of 5 radians, what is the radius?"0.6 / 5 = 0.12 m"

I hope this was helpful, Taylorlolth
You’re welcome!:)
Inessa [12.5K]3 months ago
6 0
Got it!
There are 2π radians in a complete circle.

Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.

Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
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