Conversion from
Circular to Sexagesimal System

Worked-out problems on the conversion from circular to sexagesimal system:

1. In a right-angled triangle the difference between two acute angles is 2π/5. Express these two angles in terms of radian and degree.

Solution:

Let the acute angles be xc and yc. (According to the condition of the problem:

x + y = π/2 and x - y = 2π/5

Solving these two equations we get;

x = 1/2 (π/2 + 2π/5)

x = 1/2 (5π + 4π/10)

x = 1/2 (9π/10)

x = 9π/20

and y = 1/2 (π/2 - 2π/5)

y = 1/2 (5π - 4π/10)

y = 1/2 (π/10)

y = π/20

Again, x = (9 × 180°)/20 = 81°

y = 180°/20 = 9°


2. The circular measure of an angle is π/8; find its value in sexagesimal systems.

Solution:

πc/8

We know, πc = 180°

πc/8 = 180°/8

πc/8 = 22.5° = 22° + 0.5°

[Now we will convert 0.5° to minute.

0.5° = (0.5 × 60)’ ; since 1° = 60’

       = 30’]

πc/8 = 22° 30’

Therefore, the sexagesimal measures of the angle π/8 is 22° 30’


The above solved problems help us to learn in trigonometry, about the conversion from circular to sexagesimal system.

Basic Trigonometry 

Trigonometry

Measurement of Trigonometric Angles

Circular System

Radian is a Constant Angle

Relation between Sexagesimal and Circular

Conversion from Sexagesimal to Circular System

Conversion from Circular to Sexagesimal System




9th Grade Math

From Conversion from Circular to Sexagesimal System to Home Page




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. 2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic

    Nov 20, 24 01:00 PM

    2nd Grade Math Worksheet
    2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.

    Read More

  2. 2nd Grade Measurement Worksheet | Measuring Length, Mass and Volume

    Nov 20, 24 12:50 AM

    In 2nd Grade Measurement Worksheet you will get different types of questions on measurement of length, measurement of weight (mass), measurement of capacity (volume), addition of length, addition of w…

    Read More

  3. 2nd Grade Fractions Worksheet | Basic Concept of Fractions | Answers

    Nov 20, 24 12:16 AM

    Divide the Collection into 4 Equal Parts
    In 2nd Grade Fractions Worksheet we will solve different types of problems on fractions, one-whole, one-half, one-third, one-fourth, three-fourth or s quarter. In a fraction, it is important that the…

    Read More

  4. 2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets

    Nov 18, 24 02:23 PM

    In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math

    Read More

  5. Worksheet on Addition of Length | Word Problems on Addition of Length

    Nov 17, 24 10:29 PM

    Practice the third grade math worksheet on addition of length. This sheet provides different types of questions where you need to arrange the values of length under different columns to find their sum

    Read More