The correct answer is option (F) 450 cm
The formula to find the arc length of the circle:
For a circle with radius 'r' and the central angle 'θ' (in radians), an arc length 's' is,
s = r × θ
The formula of the circumference of the circle:
C = 2 × π × r
We have been given that the length of xy (the minor arc) is 15 cm and angle = 12°.
⇒ θ = 0.209 radians
Let r be the radius of the circle.
xy = 15
⇒ r × θ = 15
⇒ r × 0.209 = 15
⇒ r = 71.77 cm
The circumference of the circle is,
C = 2 × π × r
⇒ C = 2 × π × 71.77
⇒ C = 450.95
⇒ C ≈ 450 cm
Therefore, the circumference of the circle is option (F) 450 cm
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