Question

If someone could help me that would be great

Answer 1

Answer:

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Step-by-step explanation:

Correct option is B)

The circumference of the circle is 96 units.

Therefore, 2π×r=96

⇒r=

2×22

96×7

=15.27 units

Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360

o

Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90

o

∴∠NOL=360−90−90−60=120

o

The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.

Thus, arc length LN=15.27×

180

120π

=31.98