Show:
Parallelograms and Triangles
Trapezoids and Regular Polygons
Kites and Related Figures and Ratios of Areas and Hero's and Brahmagupta's Formulas
Circles, Sectors and Segments
100
What is the area of a parallelogram with a height of 5 and a base of 5
25 units^2
100
What is the area of a trapezoid with a height of 10 and a median of 15?
150 units^2
100
What is the area of a rhombus with diagonals of 10 and 5?
25 units^2
100
What is the area of a circle with a radius of 5?
25π units^2
200
What is the area of a triangle with a base of 6 and a height of 10
30units^2
200
What is the area of a regular hexagon with an apothem of 4 and a perimeter of 36?
72 units^2
200
What is the area in a kite with diagonals of 24 and 8?
96 units^2
200
Whats the area of a sector of 90° in a circle with a radius of 4
4π units^2
300
Whats the area of a 30-60-90 triangle with the side opposite the 30° angle as 5 units
25√3 / 2 Units^2
300
What is the area of a trapezoid with a height of 9 and sides of 10 and 15?
112.5 units^2
300
What is the ratio of areas in 2 similar figures with the first figure having a side of 8 and the other with a side of 12?
4/9
300
Whats the area of a circle with a diameter of 12?
36π units^2
400
In a parallelogram given a parallelogram with angles of 60 and 120 degrees and with sides of 6 and 10 find the area of the parallelogram?
30√3 units^2
400
What is the area of a regular hexagon with sides of 6?
54√3 units^2
400
Using Hero's Formula find the area of a triangle with sides of 5, 8, and 11.
4√21 units^2
400
What is the area of a sector of 60° in a circle with a radius of 10?
50π / 3 units^2
500
What is the area of a triangle that is a 45-45-90 with a hypotenuse of 7√2?
24.5 units^2
500
Find the area of an equilateral triangle with a side of 10?
25√3 units^2
500
Using Brahmagupta's formula find the area of a cyclic quadrilateral with sides of 10, 20, 15, and 5?
50√6 units^2
500
Find the area of the sector of a 60° sector with a radius of 6?
9√3 units^2