Quadrilateral Internal Angles Sum Calculation
The sum of the internal angles of any polygon can be calculated using a standard formula. A quadrilateral is a polygon with 4 sides.
Angle Sum Formula for Polygons
The formula for the sum of the internal angles of a polygon with '\(n\)' sides is:
\( \text{Sum of angles} = (n-2) \times 180^\circ \)
Applying the Formula to Quadrilaterals
For a quadrilateral, the number of sides '\(n\)' is 4.
Substitute '\(n=4\)' into the formula:
- Step 1: Calculate \((n-2)\). For a quadrilateral, this is \((4-2) = 2\).
- Step 2: Multiply the result by \(180^\circ\). So, \(2 \times 180^\circ = 360^\circ\).
Therefore, the sum of all internal angles of a quadrilateral is \(360^\circ\).
Similar Questions
- A quadrilateral with equal sides, whose angles are NOT right angles, is known as:
Important Questions from Quadrilaterals
The area of a rectangle is 300 cm 2and the length of its diagonal is 25 cm. The perimeter of the rectangle (in cm) is:
The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.
Find the area of a rhombus whose perimeter is 116 cm and one diagonal is 42 cm in length.
The ratio of sides to a quadrilateral is 2 ∶ 3 ∶ 4 ∶ 5 and the perimeter is 560 cm. Find out the smallest side. (In cm)
