In math worksheet on distance between the polar coordinates, we will solve different types of questions.
Recall the formula for the length of the linesegment 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 coordinates 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 coordinates.
1. Find the length of the linesegment 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 coordinates (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 rightangled triangle.
Answers for the worksheet on distance between the polar coordinates are given below to check the exact answers of the above questions.
1. (i) 7 units.
(ii) 2a units.
● Coordinate Geometry
11 and 12 Grade Math
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