Circle - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 1983

In a figure, PQR = 60^o, PRS = 90^o, RPS = 45^o, QR = 8cm. Determine PS

A. 2\(\sqrt{3}\)cm
B. 4\(\sqrt{6}\)cm
C. 2\(\sqrt{6}\)cm
D. 8\(\sqrt{6}\)cm
E. 8cm

Question 32:

• JAMB 1983

In a triangle PQT, QR = \(\sqrt{3}cm\), PR = 3cm, PQ = \(2\sqrt{3}\)cm and PQR = 30o. Find angles P and R

A. P = 60^o and R = 90^o
B. P = 30^o and R = 120^o
C. P = 90^o and R = 60^o
D. P = 60^o and R 60^o
E. P = 45^o and R = 105^o

Question 33:

• JAMB 1983

If O is the centre of the circle in the figure, find the value of x

A. 50
B. 260
C. 100
D. 65
E. 130

Question 34:

• JAMB 1984

In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is

A. 67\(\frac{1}{2}\)^o
B. 22\(\frac{1}{2}\)^o
C. 33\(\frac{1}{2}\)^o
D. 45^o
E. 90^o

Question 35:

• JAMB 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A. 5\(\frac{1}{3}\)cm²
B. 24cm²
C. 36cm²
D. 84cm²