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 circle radii

$OD = OB = 6$ (both are radii of the circle)

Step2: Recognize congruent right triangles

$\triangle ODC$ and $\triangle OBC$ are right triangles with shared hypotenuse $OC$, and $OD=OB$. By HL congruence, $DC = BC = 8$.

Step3: Calculate perimeter sum

Perimeter = $OD + OB + DC + BC$
Substitute values: $6 + 6 + 8 + 8$

Answer:

28 units