PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the…

Mathematics JAMB 2004

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

  • 56 cm
  • 22 cm
  • 42 cm
  • 44 cm checkmark

The correct answer is: D

Explanation

Each interior Angle of the polygon = (n-2)180
_n

= (6-2)180
_6

= 4 x 30
= 120o
i.e ∠PQR = 120o ∴ RQD = 120/2 = 60o also
∴ Δ QOR is equilateral Δ ∴ QO = 7cm
∴ PO = QO = RO ...... = 7cm radius of the circumference of the circle = 2πr
= 2 x 22/7 x 7/1
= 44 cm
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