Question

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of corresponding chord.

Answer 1

Diameter of circle = 40 cm

Radius of circle (r) = 20 cm

Let AB is a chord of the circle, whose length is 20 cm.

After joining A and B to centre of circle O.

We get an equilateral triangle ΔOAB

Hence, angle at the centre

Hence, the length of minor arc of corresponding chord is 20π/3 cm or 20.95 cm