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sleet_krkn [62]
2 years ago
9

What is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?

Mathematics
1 answer:
Kipish [7]2 years ago
6 0

Answer:

403π/9 or 140.67

Step-by-step explanation:

First, you have to find the circumference of the circle

Circle circumference equation:

Circumference = dπ (Circumference = diameter x pi)

You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)

So:

C = 62π

Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,

So in other words, you want 200/360 of the circle's circumference.

You can find the measure of the 200 degree arc by doing

62π x \frac{200}{360} = \frac{403pi}{9} or 140.67

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