Worksheet on Distance Between the Polar Co-ordinates
In math worksheet on distance between the polar co-ordinates, we will solve different types of questions.
Recall the formula for the length of the line-segment joining the points:
(r₁, θ ₁) and (r₂, θ₂) is √[r₁² + r₂ ² - 2r₁ r₂ cos(θ₂ - θ₁)].
Review more about the distance between the two points in the polar co-ordinates and the different types of examples Click Here.
Using the above formula to solve the below questions given in the worksheet on distance between the polar co-ordinates.
1. Find the length of the line-segment joining the points :
(i) (8, π/3) and (3, π/6)
(ii) (-a√3, -30°) and (–a, 60°).
2. Show that the points having polar co-ordinates (0, 0), (3, π/2),(3, π/6) are the vertices of an equilateral triangle.
3. Prove that the points (3, π/2), (√3, 0) and (3, 5π/6) form a right-angled triangle.
Answers for the worksheet on distance between the polar co-ordinates are given below to check the exact answers of the above questions.
Answers:
1. (i) 7 units.
(ii) 2a units.
● Co-ordinate Geometry
- What is Co-ordinate Geometry?
- Rectangular Cartesian Co-ordinates
- Polar Co-ordinates
- Relation between Cartesian and Polar Co-Ordinates
- Distance between Two given Points
- Distance between Two Points in Polar Co-ordinates
- Division of Line Segment: Internal & External
- Area of the Triangle Formed by Three co-ordinate Points
- Condition of Collinearity of Three Points
- Medians of a Triangle are Concurrent
- Apollonius' Theorem
- Quadrilateral form a Parallelogram
- Problems on Distance Between Two Points
- Area of a Triangle Given 3 Points
- Worksheet on Quadrants
- Worksheet on Rectangular – Polar Conversion
- Worksheet on Line-Segment Joining the Points
- Worksheet on Distance Between Two Points
- Worksheet on Distance Between the Polar Co-ordinates
- Worksheet on Finding Mid-Point
- Worksheet on Division of Line-Segment
- Worksheet on Centroid of a Triangle
- Worksheet on Area of Co-ordinate Triangle
- Worksheet on Collinear Triangle
- Worksheet on Area of Polygon
- Worksheet on Cartesian Triangle
11 and 12 Grade Math
From Worksheet on Distance Between the Polar Co-ordinates 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.
Recent Articles
-
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:20 AM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie… -
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s… -
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
Jan 13, 25 01:34 PM
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced -
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.
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.