Question

In the adjoining figure,
a circle with centre 'O',
arc PQ = arc QR
PR. Find measure of
each arc.​

Answer 1

Hello, Here is your solution;

Arc PQ = Arc QR = Arc PR ....... (Given)

Let all the arc's of the circle be 'x'

Arc PQ = Arc QR = Arc PR = x

Arc PQ + Arc QR + Arc PR = 360° .....(Sum of measure of all sides of circle is 360°)

x + x + x = 360°

3x = 360°

x = 360

3

x = 120° ............ (1)

Arc PQ = Arc QR = Arc PR = 120° .....[from eqn.(1)]

HOPE THIS SOLUTION HELPS YOU.

HOPE THIS SOLUTION HELPS YOU.THANKS.