An arc of a circle which measures 5.2 cm. Has a central angle of 150 degrees. The radius of the circle is.

1.99cm

Step-by-step 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

this answer is !