Question

Today I would like for you to work one of the following problems and explain your process/reasoning clearly and thoroughly.

Answer 1

Explanation:

A line from the center of the circle to bisect a chord is perpendicular to the chord.

Therefore, OA⊥ AS

Join O & R

OR is radius of the circle

ΔOAR is right angled triangle.

Use Pythagorean theorem to find OR

OR² = OA² + RA²

= 3² + 4²

= 9 +16

OR² = 25

OR = √25

OR = 5 cm

OP is radius. Therefore, OP = OR = 5 cm

PA = OP + OA

= 5 + 3

PA = 8 cm