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3 years ago

Convert 10.25 degrees into radians; and π, π/2 and π/3 radians into degrees.

Engineering

2 answers:

White raven [17]3 years ago

4 0

Answer:

10.25° = 0.1790 radians

π radians = 180°

π/2 radians = 90°

π/3 radians = 60°

Explanation:

The conversion of degree into radians is shown below:

1° = π/180 radians

So,

10.25° = (π/180)*10.25 radians

Also, π = 22/7

So,

$10.25^0=\frac{22\times10.25}{7\times180}radians$

Solving it we get,

10.25° = 0.1790 radians

The conversion of radians into degree is shown below:

1 radian = 180/π°

(a)

π radians = (180/π)*π°

Thus,

π radians = 180°

(b)

π/2 radians = (180/π)*(π/2)°

$\frac {\pi }{2} radians=\frac{180}{\not {\pi }} \times \frac{\not {\pi }}{2}^0$

π/2 radians = 90°

(c)

π/3 radians = (180/π)*(π/3)°

$\frac {\pi }{3} radians=\frac{180}{\not {\pi }} \times \frac{\not {\pi }}{3}^0$

π/3 radians = 60°

enot [183]3 years ago

3 0

Answer:

0.1788 ,180°,90°,60°

Explanation:

CONVERSION FROM DEGREE TO RADIANS: For converting degree to radian we have to multiply with $\frac{\pi}{180}$

using this concept 10.25°=10.25× $\frac{\pi}{180}$ =0.1788

CONVERSION FROM RADIAN TO DEGREE: For converting radian to degree we have to multiply with $\frac{180}{\pi}$

using this concept π=π× $\frac{180}{\pi}$

=180°

$\frac{\pi}{2}$ = $\frac{\pi}{2}[/tex×[tex]\frac{180}{\pi}$

=90°

$\frac{\pi}{3}$ = $\frac{\pi}{3}$ × $\frac{180}{\pi}$

=60°

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