Answer:
Explanation:
Chords having equal measures are equidistant from the center of the circle.
Since, VW = XY
Therefore, ZP = ZR = 15 units
A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.
VR = WR = 20 units
By applying Pythagoras theorem in ΔZRV,
ZV² = ZR² + VR²
ZV² = (15)² + (20)²
ZV = √(225 + 400)
ZV = √625
ZV = 25 units
Therefore, measure of radius ZV = 25 units.
VW = XY [Given]
Therefore, XY = 2(20)
= 40 units