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Parallelogram circumscribing a circle is a rhombus - Circles Video Lecture - Class 10
FAQs on Parallelogram circumscribing a circle is a rhombus - Circles Video Lecture - Class 10
| 1. What is a parallelogram circumscribing a circle? |  |
Ans. A parallelogram circumscribing a circle is a quadrilateral with opposite sides parallel and equal in length, and the circle is tangential to all four sides of the parallelogram.
| 2. How can we determine if a parallelogram circumscribes a circle? | |
Ans. To determine if a parallelogram circumscribes a circle, we need to check if the diagonals of the parallelogram are equal in length. If the diagonals are equal, then the parallelogram is a rhombus and it circumscribes a circle.
| 3. What is the relationship between a parallelogram circumscribing a circle and a rhombus? | |
Ans. A parallelogram that circumscribes a circle is always a rhombus. This means that if a parallelogram has a circle inscribed in it, then all four sides of the parallelogram are equal in length.
| 4. How does the circle fit inside a parallelogram? | |
Ans. The circle that is circumscribed by a parallelogram touches all four sides of the parallelogram tangentially. This means that the circle is internally tangent to each side of the parallelogram.
| 5. Can a parallelogram circumscribe a circle if it is not a rhombus? | |
Ans. No, a parallelogram cannot circumscribe a circle if it is not a rhombus. If the diagonals of a parallelogram are not equal in length, then the circle cannot touch all four sides of the parallelogram tangentially.
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Dec 26, 2024 Last updated |
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