In a circle of diameter 30 cm, the length of a chord is 15 cm. Find th

1.	In a circle of diameter 30 cm, the length of a chord is 15 cm. Find the length of the minor arc of the chord.
Answer» : Diameter = 30 cm Length of chord = 15 cm Radius = 15 cm [r = 0.5 x diameter] Since the radius is equal to the length of the chord Hence the formed triangle in the circle is an equilateral triangle. θ = 60° We know that l = r × θ l = 15 x 60 x π/180 = 5 x π = 5 x 3.14 = 15.7 Therefore, the length of the minor arc is 15.7 cm

In a circle of diameter 30 cm, the length of a chord is 15 cm. Find the length of the minor arc of the chord.

Answer»

: Diameter = 30 cm

Length of chord = 15 cm

Radius = 15 cm [r = 0.5 x diameter]

Since the radius is equal to the length of the chord

Hence the formed triangle in the circle is an equilateral triangle.

θ = 60°

We know that l = r × θ

l = 15 x 60 x π/180 = 5 x π = 5 x 3.14 = 15.7

Therefore, the length of the minor arc is 15.7 cm