Question

1. PQ is a chord of a circle with centre O and radius
equal to 7 cm. If ZPOQ = 60°, then the length of
the chord PQ is
7
7
(a)
(b)
2
2
cm
cm
7/3
(c) 7 cm
(d)
cm
4​

Answer 1

Answer:

7 cm

Step-by-step explanation:

<POQ = 60°

OP = OQ = 7 cm (radius)

<OPQ = < OQP ( angle opposite to equal sides)

Because <POQ + <OPQ + < OQP = 180°

Therefore <OPQ = < OQP = 60°

Triangle POQ is eqilateral

Therefore PQ = OP = OQ = 7 cm