Lesson: Chapter - 6

Key Formulas

Pythagorean Theorem

a² + b² = c², where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.

Area of a Triangle

Area = 1/2 bh, where b is the length of the base and h is height.

Sum of the Interior Angles of a Polygon

The sum of the interior angles of a polygon is (n – 2)180°, where n is the number of sides in the polygon.

Area of a Trapezoid

Area = s₁ + s₂ / 2 , h h, where s₁ and s₂ are the lengths of the bases of the trapezoid, and h is the height.

Area of a Parallelogram, Rectangle, and Rhombus

Area = bh, where b is the length of the base, and h is the height.

Area of a Square

Area = s², where s is the length of a side of the square.

Circumference of a Circle

Circumference = 2pr, where r is the radius of the circle.

Arc Length

Arc Length = n/ 360^o × 2pr, where n is the measure of the degree of the arc, and r is the radius of the circle.

Area of a Circle

Area = pr², where r is the radius of the circle.

Area of a Sector

Area of Sector = n/ 360^o × pr², where n is the measure of the central angle which forms the boundary of the sector, and r is the radius of the circle.

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Mathematics Practice Questions