Question

point o is the center of the circle. what is the perimeter of quadrilateral dobc? 14 units 16 units 22 units 28 units

Explanation:

Step1: Identify radii and tangents

OD and OB are radii of the circle, so \( OD = OB = 6 \) units. CD and CB are tangents to the circle from point C, so \( CD = CB = 8 \) units (tangents from a common external point are equal).

Step2: Calculate perimeter of DOBC

Perimeter of quadrilateral \( DOBC = OD + OB + BC + CD \)
Substitute the values: \( 6 + 6 + 8 + 8 \)

Step3: Simplify the expression

\( 6 + 6 + 8 + 8 = 12 + 16 = 28 \)

Answer:

28 units