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

Assessment: JAMB UTME - Mathematics - 2004 Subject: General Mathematics

Question 1 Report

56 cm

22 cm

42 cm

44 cm

Answer Details

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

=	(6-2)	180
	_6

= 4 x 30
= 120

^{\circ}

i.e ∠PQR = 120

^{\circ}

∴ RQD = 120/2 = 60

^{\circ}

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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