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:**

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:
**

We know, π

π

π

[Now we will convert 0.5° to minute.

0.5° = (0.5 × 60)’ ; since 1° = 60’

= 30’]

π

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 **

**Measurement of Trigonometric Angles**

**Relation between Sexagesimal and Circular**

**Conversion from Sexagesimal to Circular System**

**Conversion from Circular to Sexagesimal System**

**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.