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Convert Radian to degree angles P-2

In this post, we will begin by explaining the fundamental concepts of radian to degree. Radians are a unit of measurement used in mathematics to express angles in terms of the radius of a circle. On the other hand, degrees are the more commonly used unit for measuring angles, dividing a circle into 360 equal parts.

To facilitate a smooth transition between radian and degree, we will introduce the conversion formula. This formula will be presented step-by-step, making it easy to understand and apply in various scenarios.

We will provide practical examples to illustrate how to convert angles from radian to degree. These examples will cover simple cases as well as more complex angles, ensuring readers gain a solid grasp of the conversion process.

Converting radian to degree Following the previous section, we will reverse the process and guide readers on converting radian to degree. This section will enhance their ability to fluidly work with angles in either unit of measurement.

Mastering the conversion between radians and degrees is an essential skill for anyone working with angles. This comprehensive guide has equipped you with the necessary knowledge to confidently convert between these units, and we hope it has been a valuable resource for your academic or professional endeavors. As you apply this knowledge in your field, remember that practice and repetition are key to becoming proficient in this skill. Happy converting!

convert trigonometry degree into radians
convert trigonometry degree into radians

Conversion of Radian to Degree Angels

Question 02(i): \frac{\pi}{8}

    \[\begin{aligned} \frac{\pi}{8}&=\frac{\pi}{8} \times \frac{180}{\pi} \text{degree}\\ & =22.5^{\circ}\\ & =22^{\circ} 30^{\prime} \end{aligned}\]

Question 02(ii): \frac{\pi}{6}

\frac{\pi}{6}=\frac{\pi}{6} \cdot \frac{180}{\pi} degrees
=30^{\circ}

Question 02(iii): \frac{\pi}{4}

\frac{\pi}{4}=\frac{\pi}{4} \times \frac{180}{\pi} degrees
=45^{\circ}

Question 02(iv): \frac{\pi}{3}

\frac{\pi}{3}=\frac{\pi}{3} \times \frac{180}{\pi} degrees
=60^{\circ}

Question 02(v): \frac{\pi}{2}

\frac{\pi}{2}=\frac{\pi}{2} \times \frac{180}{\pi}=90^{\circ}

Question 02(vi): \frac{2 \pi}{3}

\frac{2 \pi}{3}=\frac{2 \pi}{3} \times \frac{180}{\pi} degrees
=120^{\circ}

Question 02(vii): \frac{3 \pi}{4}

\frac{3 \pi}{4}=\frac{3 \pi}{4} \times \frac{180}{\pi} degrees
=135^{\circ}

Question 02(viii): \frac{5 \pi}{6}

\frac{5 \pi}{6}=\frac{5 \pi}{6} \times \frac{180}{\pi} degrees
=150^{\circ}

Question 02(ix): \frac{7 \pi}{12}

\frac{7 \pi}{12}=\frac{7 \pi}{12} \times \frac{180}{\pi} degrees
=105^{\circ}

Question 02(x): \frac{9 \pi}{5}

\frac{9 \pi}{5}=\frac{9 \pi}{5} \times \frac{180}{\pi} degrees
=324^{\circ}

Question 02(xi): \frac{11 \pi}{27}

\frac{11 \pi}{27}=\frac{11 \pi}{27} \times \frac{180}{\pi} degrees
=73^{\circ} 20^{\prime}

Question 02(xii): \frac{13 \pi}{16}

\frac{13 \pi}{16}=\frac{13 \pi}{16} \times \frac{180}{\pi} degrees
=146^{\circ} 15^{\prime}

Question 02(xiii): \frac{17 \pi}{24}

\frac{17 \pi}{24}=\frac{17 \pi}{24} \times \frac{180}{\pi} degrees
=127^{\circ} 30^{\prime}

Question 02(xiv): \frac{25 \pi}{36}

\frac{25 \pi}{36}=\frac{25 \pi}{36} \times \frac{180}{\pi} degrees
=125^{\circ}

Question 02(xv): \frac{19 \pi}{32}

\frac{19 \pi}{32}=\frac{19 \pi}{32} \times \frac{180}{\pi} degrees
=106^{\circ} 52^{\prime} 30^{\prime \prime}

Useful Links

apkplot
apkplothttps://apkplot.com
Apkplot.com is an all-in-one educational site that has answers to math problems and free past papers and MCQs to help people prepare for the MDCAT and ECAT. The website is based on FSC and covers the subjects of math, physics, chemistry, and biology for Parts 01 and 02. Students can use the website's large database of answers to math problems and step-by-step explanations to help them. Students taking FSC Parts 01 and 02, as well as the MCAT and ECAT, can also find past papers on the website. These papers help students understand the format of the exam and prepare well for the real test. The MCQs are also a great way for students to test their knowledge and figure out what they need to learn more about.
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