

InterviewSolution
Saved Bookmarks
1. |
A rangoli has been drawn on the floor of a house. ABCD and PQRS both are in the shape of a rhombus. Find the radius of semi-circle drawn on each side of rhombus ABCD. |
Answer» In Rhombus ABCD, AO = OP + PA = 2+2 = 4 units. And, OB = OQ + QB = 2 + 1 = 2 units. Now, We know that the diagonals of the rhombus bisect at 900 ∴ In ΔOAB, AB2 = OA2 + OB2 ⇒ AB2 = 42 + 32 ⇒ AB = √25 ⇒ AB = 5 units. Now, AB is also the diameter of the semi-circle. ∴ radius of the circle will be 2.5 units. |
|