What is the distance between the points ( aCosTHETA, aSinTHETA) and (-aSinTHETA, aCos THETA)

Question

What is the distance between the points ( aCosTHETA,
aSin​THETA) and (-aSin​THETA, aCos ​THETA)

Rajat Sethi · Accepted Answer

Using distance between 2 points =(x2-x1)2+(y2-y1)2,we haveD=(-asinθ-acosθ)2+(acosθ-asinθ)2D=a2(sin2θ+cos2θ+2sinθcosθ)+a2(cos2θ+sin2θ-2sinθcosθ)D=a1+2sinθcosθ+1-2sinθcosθD=a2

What is the distance between the points ( aCosTHETA, aSin​THETA) and (-aSin​THETA, aCos ​THETA)