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ICE Princess25 [194]
3 years ago
6

PLS HELP!!!

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

(\text{A})\:\frac{50}{\pi}\:\text{mm}

Step-by-step explanation:

This the arc is 90 degrees and there are 360 degrees in a circle, it makes up \frac{90}{360}=\frac{1}{4} of the circle. Therefore, its length will be \frac{1}{4} of the circumference. Since its length is 25 mm, the circumference is then 25\cdot 4=100\:\text{mm}. The circumference of a circle is given by 2\pi r, where r is the radius of the circle. Therefore, we can set up the following equation and solve for r:

2\pi r=100

Solving, we get:

2\pi r=100,\\\\r=\frac{100}{2\pi},\\\\r=\boxed{(\text{A})\:\frac{50}{\pi}\:\text{mm}}.

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