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Question

If the area of a circle is 'a' square units, what will be the length of the side of an equilateral triangle inscribed in it?

This question was previously asked in
OTET 2026 Social Studies Question Paper (5-Jul-2026)
The correct answer is

sqrt(3a/pi)

Area = pi*r^2 = a, so r = sqrt(a/pi). The side of an equilateral triangle inscribed in a circle of radius r is r*sqrt(3) = sqrt(3a/pi).

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Important Questions from Circles

  1. If 3x + y - 5 = 0 is the equation of a chord of the circle x+ y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?

  2. What is the area of minor segment ?

  3. What is the area of major segment ?

  4. A straight line x = y + 2 touches the circle 4(x 2+ y 2) = r 2. The value of r is

  5. If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the circle on x-axis and y-axis respectively are

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