How to Find the Area of a Square The total space inside the boundary of the square is called as the area of a square. The area of a square is measured in terms of square units. In geometry, a square is one of the types of a regular quadrilateral, which means that it has four equal sides and four equal angles which are 90 degree angles or right angles. It has two diagonals and four vertices. The sum of the internal angles of a square is 360 degrees. A diagonal connects the two corners of a square. Two diagonals are equal in length. Area of a Square Formula The formula for area of a square is, Area, A = a2 Know More About Math Tutoring Online For Free
Where, a is the length of the sides of the square. The total space inside the boundary of the square is called as the area of a square. The area of a square is measured in terms of square units. Finding Area of a Square In a square, the diagonals creates 2 right angled triangle. The sides of the squares are of equal length. We assume that a is the side length. By using Pythagorean Theorem, we can find the area of a square. a2 + a2 = d. 2a2=d d=2a2 a = /2 where, d is the diagonal length Learn More Geometry Tutoring Online Free
a is the side length The area of square (A) = a2 square units. Example Problems on Area of a Square Below are some examples on area of a square Example 1: Find the area of the square whose diagonal length 36 cm. Solution :- Diagonal (d) = 36 cm a = /2 a = /2 a = 62 a = 3 cm Area of the square (A) = a x a = a2 square unit. = 32
What are Complementary Angles Two angles are said to be complementary angles, if the sum of the two angles is 900. If the sum of the two angles is 1800, they are called as supplementary angles. If X and Y are two complementary angles, then X + Y =90o. Complementary angles are complement to each other. Understand the concept of complementary angles in this tutorial and gain quality math help! Complementary Angles Definition Two Angles are called as Complementary angles, if their angles add up to 90 degrees. Complementary angle = angle a + angle b = 90 degree. If the sum of two adjacent angles is 90 degrees, then they are called as complementary angles. That is, angle a is the complement angle of angle b and vice versa. Solved Problems on Complementary Angles
Below are some solved problems based on complementary angles Problem 1: If one angle is 60 degree, find the angle 2 if the two angles are complementary to each other. Solution: Given: Angle 1 = 60. Angle1 and Angle 2 are complementary angles. Since the two angles are complementary angles they must add up to 90 degree. So, Angle 1 + Angle 2 = 90 degree Plug in the given angle in to the above equation, 60 + angle 2 = 90 degree. angle 2 = 90 degree â€“ 60 Angle 2 = 30 degrees. Problem 2: In the given pair of complementary angles, find the value of x and y. Solution: Read More About Online Tutoring Free
Given, angle CAB = 65 and angle ACB = 25 we know that in a rectangle all the four angles are equal to 90o so angle DAB = 90o By using the complementary angles rule, we can find the value of X angle DAC + angle CAB = 90o X + 65 = 90 X = 90 - 65 X = 25o We know that it is a pair of complementary angles So, Y = 65o x = 25o and y=65o
Published on Mar 20, 2012
The total space inside the boundary of the square is called as the area of a square. The area of a square is measured in terms of square uni...