Heron's formula, areas between same parallels, sector/segment of a circle.
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Q1 · Area of Triangles, Parallelograms and Circles · EASY
A triangular park has sides measuring 13 m, 14 m and 15 m. Find the area of the park using Heron's formula.
Q2 · Area of Triangles, Parallelograms and Circles · MEDIUM
A parallelogram and a triangle stand on the same base of 20 cm and lie between the same parallel lines. If the area of the triangle is 180 square cm, what is the area of the parallelogram?
Q3 · Area of Triangles, Parallelograms and Circles · MEDIUM
A circular garden has a radius of 14 m. A sector of the garden with a central angle of 90 degrees is used for planting roses. Find the area of this sector. (Take π = 22/7)
Q4 · Area of Triangles, Parallelograms and Circles · HARD
A chord of a circle with radius 10 cm subtends an angle of 60 degrees at the centre. Find the area of the minor segment formed by this chord. (Take √3 = 1.732 and π = 3.14)
Q5 · Area of Triangles, Parallelograms and Circles · EASY
A parallelogram has a base of 12 cm and a height of 7 cm. What is its area?