WAEC Past Questions and Answers - Page 4235

21,171.

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A.

11.25cm2

B.

12.83cm2

C.

22.0cm2

D.

67.2cm2

E.

90.2cm2

Correct answer is E

r = 3.5 cm; l = 8.2 cm.

Curved surface area = \(\pi rl\)

= \(\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}\)

= 90.2 cm\(^2\)

21,172.

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

A.

(0,6), (3,9)

B.

(-3, 0)(2,4)

C.

(-2,4)(3,9)

D.

(-2,3)(-3,2)

E.

(-2,2)(3,6)

Correct answer is C

From the graph; when x = -2, y = 4
(-2, 4)

x = 3.0, y = 9; (3,9)

(-2, 4)(3,9)

21,173.
21,174.

The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take \(\pi\) = 22/7].

A.

\(9\frac{3}{7}cm^2\)

B.

\(12\frac{4}{7}cm^2\)

C.

\(18\frac{6}{7}cm^2\)

D.

\(25\frac{1}{7}cm^2\)

Correct answer is C

Area of a sector

\(\frac{θ}{360°} * πr^2\)

= \(\frac{135}{360} * 3.142 * 4 * 4\)

= \(18\frac{6}{7}cm^2\)