Circle - Jamb Mathematics Past Questions and Answers

Question 61:

• JAMB 1997

A chord of a circle of a diameter 42cm subtends an angle of 60o at the centre of the circle. Find the length of the mirror arc

A. 22cm
B. 44cm
C. 110cm
D. 220cm

Question 62:

• JAMB 1997

An arc of a circle subtends an angle 70o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))

A. 22cm²
B. 44cm²
C. 66cm²
D. 88cm²

Question 63:

• JAMB 1997

A cone with the sector angle of 45° is cut out of a circle of radius r of the cone.

A. \(\frac{r}{16}\) cm
B. \(\frac{r}{6}\) cm
C. \(\frac{r}{8}\) cm
D. \(\frac{r}{2}\) cm

Question 64:

• JAMB 1997

The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY

A. \(\sqrt{630}\)cm
B. \(\sqrt{626}\)cm
C. \(\sqrt{615}\)cm
D. \(\sqrt{600}\)cm

Question 65:

• JAMB 1998

In diagram, PQ || ST and < PQR = 120^o, < RST = 130^o, find the angle marked x

A. 50
B. 65
C. 70
D. 80