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Mathematics

1 answer:

Alla [95]3 years ago

8 0

Answer:

The length of arc EF is 11.3

Step-by-step explanation:

Since both angles are congruent, we can say that they are equal in value

Mathematically, the length of an arc can be calculated using the formula;

L = theta/360 * 2 * pi * r

where theta is the angle subtended and r is the radius of the circle

So for circle A, we have;

18.08 = theta/360 * 2 * π * 8

theta = (360 * 18.08)/16π

Theta = 406.8/π

Now we shall substitute this angle in the second circle to get its length

L = 406.8/π * 1/360 * 2 * π * 5

L = 406.8/36 = 11.3

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