Calculate the angle at the center of a circle, subtended by a chord 6 cm from the the center of the circle with radius 10 cm

Answer 1

To find the angle at the center of the circle, we can use the formula:

angle = 2 * arctan(chord / 2*radius)

Plugging in the values:

angle = 2 * arctan(6 / 2*10)

angle = 2 * arctan(0.3)

angle = 2 * 16.70

angle = 33.40 degrees

Therefore, the angle at the center of the circle is 33.40 degrees.