Mathematics

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

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.
  • A.
    56 cm
  • B.
    22 cm
  • C.
    42 cm
  • D.
    44 cm
Correct Answer: Option 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