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Triangle within a Circle Video Lecture | CSAT Preparation - UPSC

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FAQs on Triangle within a Circle Video Lecture - CSAT Preparation - UPSC

1. What is a triangle inscribed in a circle?
Ans. A triangle inscribed in a circle is a triangle whose three vertices all lie on the circumference of a given circle.
2. How is the relationship between a triangle and a circle defined?
Ans. The relationship between a triangle and a circle is defined by the fact that if a triangle is inscribed in a circle, then the measure of each of its angles is half the measure of the intercepted arc.
3. What is the significance of a triangle inscribed in a circle?
Ans. The significance of a triangle inscribed in a circle is that it has several interesting geometric properties, such as the fact that the perpendicular bisectors of its sides intersect at a single point called the circumcenter of the triangle.
4. How can we determine the length of the sides of a triangle inscribed in a circle?
Ans. The length of the sides of a triangle inscribed in a circle can be determined using various geometric theorems and formulas, such as the Law of Cosines, the Law of Sines, or the properties of right triangles.
5. Can any triangle be inscribed in a circle?
Ans. No, not every triangle can be inscribed in a circle. Only certain types of triangles, such as equilateral triangles or isosceles triangles, can be inscribed in a circle.
207 videos|156 docs|192 tests

Timeline

00:08 Introduction - Triangle within a Circle
00:24 Centre of the Circle & Triangle
01:29 Relation between the Radius of the Circle & the Side of the Equilateral Triangle
03:08 Find based on Ratio of the Radius of the Circle & the Side of the Equilateral Triangle
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