Question

What’s the correct answer for this?

Answer 1

Answer:

36

Step-by-step explanation:

In circle with center O,

$chord\overline {EF} \cong chord\overline {WV}... (Given)$

Since, congruent chords are equidistant from the center of the circle.

$\therefore PG = GO\\\therefore - x +10 = - 3(x+2)\\\therefore - x + 10 = - 3x - 6\\\therefore 3x - x = - 6-10\\\therefore 2x = - 16\\\\\therefore x = \frac{-16}{2} \\\\\huge \red {\boxed {\therefore x = - 8}} \\\\\because \overline {PO} = \overline {PG} + \overline {GO} \\\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\\therefore \overline {PO} = - x + 10 - 3x - 6\\\therefore \overline {PO} = - 4x + 4 \\\therefore \overline {PO} = - 4\times (-8)+ 4 \\\therefore \overline {PO} =32+ 4 \\\huge \orange {\boxed {\therefore \overline {PO} =36}}$