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COMEDK20269 May 2026Morning ShiftMathematicsCircleActual

The radius of a circle is 5 cm . A chord of this circle is equal to the radius. Then the length of the arc of this chord is:

Options

  1. A3.14 cm
  2. B2.62 cm
  3. C5.24 cm
  4. D4.1 cm

Correct answer

C. 5.24 cm

Step-by-step solution

Let the radius of the circle be r = 5 cm. Since the length of the chord is equal to the radius, the triangle formed by the chord and the two radii connecting its endpoints to the center is an equilateral triangle. Therefore, the angle subtended by the chord at the center is = 60^ = 3 radians. The length of the arc is given by the formula l = r . l = 5 3 l = 5 3.1416 3 5.236 cm Rounding to two decimal places, the length of the arc is 5.24 cm. Answer: 5.24 cm

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