Answer:
1.99cm
Explanation:
Length of an arc is expressed as;
length of an arc = theta/360 * 2πr
r is the radius
theta is the angle substended at the centre
Given
theta = 150 degrees
Length of the arc = 5.2cm
Required
radius of the circle
Substitute into the formula
5.2 = 150/360 * 2(3.14)r
5.2 = 5/12*6.28r
5.2 = 31.4r/12
5.2 * 12 = 31.4r
62.4 = 31.4r
r = 62.4/31.4
r = 1.99cm
Hence the radius of the circle is 1.99cm