The angle subtended by a chord at the center of a circle, radius 15 cm, is 42°. Find the length of the chord

Answer 1

To find the length of the chord, we can use the formula:

Length of chord = 2 * radius * sin(angle/2)

Given that the radius is 15 cm and the angle is 42 degrees, we can plug in these values into the formula:

Length of chord = 2 * 15 * sin(42/2)
Length of chord = 2 * 15 * sin(21)
Length of chord = 30 * sin(21)
Length of chord ≈ 30 * 0.35837
Length of chord ≈ 10.75 cm

Therefore, the length of the chord is approximately 10.75 cm.