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My name is Ann [436]
3 years ago
8

If the circumference of a circle is 120 inches and M angle B equals 18° then what is the length of arc AC

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

For a circle of radius R, the circumference is:

C = 2*pi*R

where pi = 3.14

And if we have an arc defined by an angle θ, the length of the arc is:

A = (θ/360°)*2*pi*R

Here we can not see the image, then i assume that B is the angle that defines the arc AC.

Now we know that the circumference is 120 in, then:

2*pi*R = 120in

Then the length of the arc is:

A = (θ/360°)*120 in

Then if the angle is 18°, we have:

A = (18°/360)*120 in = 6in

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