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Jet001 [13]
3 years ago
10

The measurement of a central angle is 75. Find the measurement of in radians

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
Circumference = 360 degrees 
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>

<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>

<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>

<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>

<span>75 deg. ≈ 1.308997 radians</span>
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