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Mathematics
UTME / JAMB 2026
Areas of Plane Figures
Diagram
Solution
In the diagram above, a coloured light on an ambulance car is made up of a hemisphere mounted on a cylinder of the same radius. Calculate the surface area if the cylinder has a radius 7 cm and a height 3 cm.
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Areas of Plane Figures
Solution
A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle
A
1931.25 m\(^2\) ≤ A < 2021.25 m\(^2\)
B
1950 m\(^2\) ≤ A < 2002 m\(^2\)
C
1957 m\(^2\) ≤ A < 1995 m\(^2\)
D
1931.25 m\(^2\) ≥ A > 2021.25 m\(^2\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Areas of Plane Figures
Solution
Find the area, to the nearest cm\(^2\), of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.
A
1162 cm\(^2\)
B
1163 cm\(^2\)
C
1160 cm\(^2\)
D
1161 cm\(^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2023
Areas of Plane Figures
Solution
The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)
A
\(1,106.29cm^2\)
B
\(1,016.29cm^2\)
C
\(1,106.89cm^2\)
D
\(1,206.27cm^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Areas of Plane Figures
Solution
A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area
A
126.5cm\(^2\)
B
165.0cm\(^2\)
C
212.0cm\(^2\)
D
214.5cm\(^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Areas of Plane Figures
Diagram
Solution
The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area
A
30cm\(^2\)
B
40cm\(^2\)
C
60cm\(^2\)
D
80cm\(^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2000
Areas of Plane Figures
Diagram
Solution
(a) The mean of 1, 2, x, 11, y, 14, arranged in ascending order, is 8 and the median is 9. Find the values of x and y.
(b) Use the figure above to answer the question(i) below.
(i) In the diagram, MN || PQ, |LM| = 3cm and |LP| = 4cm. If the area of \(\Delta\) LMN is 18\(cm^{2}\), find the area of the quadrilateral MPQN.
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 1989
Areas of Plane Figures
Solution
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
\(25\frac{1}{7}cm^2\)
medium Difficulty
Study Solution