In circle 0, the radius is 4, and the measure of minir arc ab is 120 degrees. find the lenght of minor arc ab to the newrest integer

8 units

Step-by-step explanation:

Note that 120 degrees represents 1/3 of 360 degrees.  The arc described here is thus 1/3 of the circumference of this circle.

Find this circumference and then multiply that result by 1/3:

The formula for the circumference of a circle with radius r is C = 2πr.  Here,

(1/3)*(2)(π)(4 units) = 8.38 units, or (to the nearest integer) approx. 8 units.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

yes

step-by-step explanation:

yes