Grade 12 Math: Area Formulas Mastery
This worksheet focuses on applying and deriving area formulas for various geometric shapes, including advanced polygons, circles, and irregular figures, suitable for Grade 12 students.
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Grade 12 Math: Area Formulas Mastery
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Read each question carefully and solve for the area of the given shapes. Show all your work and calculations. Use π ≈ 3.14 where necessary. Round your answers to two decimal places unless otherwise specified.
1. What is the area of an equilateral triangle with a side length of 6 cm?
9√3 cm²
18 cm²
6√3 cm²
36 cm²
2. The area of a regular hexagon with side length 's' can be given by the formula:
(3√3/2)s²
6s²
4s²
(√3/4)s²
3. Calculate the area of a trapezoid with parallel sides of length 10 cm and 16 cm, and a height of 8 cm.
4. A circular garden has a diameter of 14 meters. What is the area of the garden? (Use π ≈ 3.14)
5. The area of a rhombus with diagonals d1 and d2 is given by the formula A = .
6. To find the area of a regular polygon, you can use the formula A = (1/2)ap, where 'a' is the apothem and 'p' is the .
7. The area of a parallelogram can be found by multiplying its base by its perpendicular height.
True
False
8. The area of a sector of a circle with radius 'r' and central angle 'θ' (in degrees) is (θ/180)πr².
True
False
9. The diagram above shows an isosceles triangle with a base of 12 cm and a height 'h' of 8 cm. Calculate its area.
10. A cylinder has a radius of 4 cm and a height of 10 cm. What is the area of its circular base? (Use π ≈ 3.14)