# Area of general quadrilateral formula class 8

The quadrilateral area formulas are as follows: Note: The median of a trapezoid is the segment that connects the midpoints of the legs. Its length equals the average of the lengths of the bases. You use this formula for all trapezoids, including isosceles trapezoids. Area of sector = π r² x 60 = 13.1cm² 360 For Ellipse area = π ab Area = 3.142 x 10 x 5 = 157cm² Complex shapes for which there are no formulas should be divided into simple shapes. The area of each is then calculated and added together to determine the overall area. Area = A1 + A2 + A3 + A4 - A5 3 cm 12 cm 8 cm 7 cm r = 5 r = 5 Proving That a Quadrilateral is a Kite To prove that a quadrilateral is a kite, either of the following methods can be used. 1. If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite (definition). 2. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is ...

The area of the squares below, with unit squares of sides 1 centimeter each, will be measured in square centimeters (cm²). Here, the area of the shapes below will be measured in square meters (m²) and square inches (in²). The origin of the word area is from ‘area’ in Latin, meaning a vacant piece of level ground. You can use this formula to find the area of a triangle using the 3 side lengths. Therefore, you do not have to rely on the formula for area that uses base and height. Diagram 1 below illustrates the general formula where S represents the semi-perimeter of the triangle. semi-perimeter is just the perimeter divided by 2 : $$\frac{perimeter}{2}$$.