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2 years ago

Write a formula for rrr in terms of \thetaθtheta for the following figure.

Mathematics

2 answers:

xxMikexx [17]2 years ago

3 0

Answer: r = 4cm/θ

Step-by-step explanation:

For a circle of radius R, the perimeter is:

P = 2*pi*R

Now, if we have an arc with an angle θ, the cord of this arc is:

C = (θ/2*pi)*2*pi*R

Where you can see that if θ = 2*pi (this is the full circle) we have the perimeter of the circle.

In this case, we can see that the cord for an angle θ is 4cm, then:

C = 4cm = (θ/2*pi)*2*pi*r = θ*r

Now we can solve this for r:

r = 4cm/θ

Gennadij [26K]2 years ago

3 0

Answer:

4/Ф

Step-by-step explanation:

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