Shared by a Veda teacher · Generated with Veda AI · Oct 2026
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Raindrops, plant stems, the full moon. What do they share?
Every circle, big or small, has a centre, and every point on the circle is exactly the same distance from it.
↳ The property came first; the definition was written to capture it.
The definition, and the word that goes with it.
A circle is the set of all points in a plane at a fixed distance from a given point.
↳ The circle is not a drawn shape but everything satisfying a rule.
Seven words that nearly every question uses.
↳ Marks are attached to these exact words, so precision pays.
How much does a circle know about one of its chords?
A chord is completely described, as far as the circle is concerned, by its length and its distance from the centre.
↳ Every theorem in this topic connects those two numbers.
Equal chords do the same thing at the centre.
Equal chords of a circle subtend equal angles at the centre.
↳ Two radii and an equal third side make the angles at the centre match.
And the same argument run backwards.
Chords that subtend equal angles at the centre are equal.
↳ Theorems 2 and 3 are converses; which you use depends on what you are given.
A circle is everything at one fixed distance from one fixed point, and that single property gives it more symmetry than any other everyday shape. From it follow the whole vocabulary of the chapter, the fact that a diamet…
~40 min · full explanation, examples & memory tricks in the app
A chord of a circle is fixed entirely by two numbers, its length and its distance from the centre, and a single right-angled triangle ties those two together. Out of that one relation come the theorems on equal chords, o…
~45 min · full explanation, examples & memory tricks in the app
An arc makes one angle at the centre of its circle and another at every point of the remaining curve, and the first is always exactly twice the second. From that single fact follow equal angles in a segment, the right an…
~45 min · full explanation, examples & memory tricks in the app
175 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A circle has radius 7 cm. What is its diameter?
Beginner14 cm
The diameter is twice the radius.
A circle has diameter 30 cm. What is its radius?
Beginner15 cm
The radius is half the diameter.
A circle has radius 9.5 m. What is the length of its longest chord?
Intermediate19 m
The longest chord of any circle is its diameter, which is twice the radius.
A right-angled triangle has a hypotenuse of 26 cm. What is the radius of its circumcircle?
Intermediate13 cm
For a right-angled triangle the circumcentre is the midpoint of the hypotenuse, so the radius is half of it.
60 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.
