itzelonofre58 itzelonofre58
  • 24-06-2020
  • Mathematics
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The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
Give the exact answer in simplest form.

The radius of a circle is 4 miles What is the length of a 45 arc 45 r4 mi Give the exact answer in simplest form class=

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  • 24-06-2020

Answer:

2π miles

Step-by-step explanation:

2πr is the formula for the circumference of a circle.

Using that formula, the circumference for this circle is 8π.

Since the circle's full angle is 360°, we can use a ratio to find out how long the 45° arc is.

  °    : length

360  :   8π

 9     :  0.4π

45    :  2π

The 45° is 2π mi long.

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