**Quadrants :**

Let X′OX and YOY′ be two lines at right angles to each other as in the figure given below.

we call X′OX and YOY′ as x-axis and y-axis respectively.

XOY - First

YOX - Second

X′OY′ - Third

Y′OX - Fourth

**Angle in standard position:**

If the vertex of an angle is at O and its initial side lies along x-axis, then the angle is said to be in standard position.

**Angle in a quadrant :**

An angle is said to be in a particular quadrant, if the terminal side of the angle in standard position lies in that **quad-rant**.

To check whether the given angle lies in which **quad-rant**, first we have to check the following

0° ≤ θ ≤ 90° - 1st |
90° ≤ θ ≤ 180° - 2nd |

90° ≤ θ ≤ 180° - 3rd |
270° ≤ θ ≤ 360° - 4th |

- If the given angle < 360°, we can draw a picture to know that the angles lies in which
**quad-rant** - If the given angle > 360°, then we have to divide the given angle by 360 and draw the picture for the remaining angle.

**Example 1 :**

Find the **quad-rant** in which the terminal sides of the following angles lie.

- 60°

**Solution :**

**Since the given angle is negative we have to take clock wise direction.**

**The terminal side of - 60**° lies 4th **quad-rant**.

**Example 2 :**

- 300°

**Solution :**

**To find -300**° lie **in which quad-rant, we have to draw a picture. Since the given angle is negative we have to take clock wise direction.**

**The terminal side of - 300**° lies 2nd **quad-rant**

**Example 3 :**

Find the **quad-rant** in which the terminal sides of the following angles lie.

1295°

**Solution :**

**To find 1295**° lie **in which ****quad-rant****, we have to draw a picture.**

**The terminal side of -1295**° lies 3rd **quad-rant**

**Example 4 :**

Find the **quad-rant** in which the terminal sides of the following angles lie.

380°

**Solution :**

**Since the angle **380° is greater than 360°, we have to divide it by 360 and take the remainder.

380 = 1 x 360 + 20

20° is between 0° and 90° the given angle lies in 1st quad-rant.

After having gone through the stuff given above, we hope that the students would have understood "**quad-rant**".

Apart from the stuff given above, if you want to know more about "**quad-rant**", please click here

Apart from the stuff, "Convert between radians and degrees", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**