Question

The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)

SHOW ALL WORKING.

Answer 1

1.89 radians or 108 degrees.

Explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

= (9.42 / 31.42) * 2 * 3.142

= 1.89 radians or 108 degrees..