Introduction :
In this article we are going to study geometry areas Area is region covered by two dimensional shapes. Based on the shape of the area we can drive the area formula of the shape. Based on the shape properties we have some formulas in below. In this section we will see brief about area of different shapes such as square, trapezoidal, square, triangles, cone, circle, parallelogram, and so on. Here we have some sample solved problems of area in geometry. Some important area formulas are listed in below sub topics. Area is amount of gap within a particular closed boundary. There are different measures to calculate the area in geometry. Now we are going to solve some area problems in geometry using the following area formulas.
Some area formulas in geometry:
In below we have some of the area formulas in geometry:
Square:
Area of the square = a *a square units
Where, a is a side of the square
Rectangle:
Area of the rectangle = l * b square units
Where, l and b is length and breadth of the rectangle with respective.
Circle:
Area of the circle = `pi ` * r2 square units
Where, r is a radius of the circle.
Triangle:
Area of the triangle = `1/2` b * h square units
Where, b is breadth and h is height of the triangle.
Trapezoidal:
Area of the trapezoidal = `1/2` * a * (b1 + b2) square units
Where, a is side length of trapezoidal , b1 is base1 and b2 is base2 of the trapezoidal.
Parallelogram:
Area of the parallelogram = b * h square units
Where, b is base and h is perpendicular height. I have recently faced lot of problem while learning Bisector of a Triangle, But thank to online resources of math which helped me to learn myself easily on net.
Some example problems using the above area formulas in geometry:
Problem 1: Can you calculate the area of a parallelogram with a base of 5 inches and a height of 8 inches.
Solution:
Given: base is 5 inches and height is 8 inches.
We know that,
Area of the parallelogram = b * h square units
Area of the parallelogram = 5 * 8 = 40 square inches.
Therefore, the area of the parallelogram is 40 square inches.
Answer: The area of the parallelogram is 40 square inches.
Problem 2: The school park has a circular pond with a diameter of 6 feet. What is the pond's area?
Solution:
Given: d = 6 feet.
Therefore, radius = `6/2 ` = 3 feet
Area of the circle = p r2 square units.
The diameter is 6 feet. Replace d by 6 in the formula.
Area = p * 3 * 3 = 3.14 * 9 = 28.26 square units.
The area of the circle is 28.26 square feet.
Answer: The area of the circle is 28.26 square feet.
One more example problem using the above area formulas in geometry:
Problem: A square playground has an area of 100 square meters. How long is each side?
Solution:
The area of a square is the side length times itself.
Consider of a number that, when multiplied by itself, gives 100:
10 × 10 = 100
Each side is 10 meters long.
Answer: Each side is 10 meters long.
In this article we are going to study geometry areas Area is region covered by two dimensional shapes. Based on the shape of the area we can drive the area formula of the shape. Based on the shape properties we have some formulas in below. In this section we will see brief about area of different shapes such as square, trapezoidal, square, triangles, cone, circle, parallelogram, and so on. Here we have some sample solved problems of area in geometry. Some important area formulas are listed in below sub topics. Area is amount of gap within a particular closed boundary. There are different measures to calculate the area in geometry. Now we are going to solve some area problems in geometry using the following area formulas.
Some area formulas in geometry:
In below we have some of the area formulas in geometry:
Square:
Area of the square = a *a square units
Where, a is a side of the square
Rectangle:
Area of the rectangle = l * b square units
Where, l and b is length and breadth of the rectangle with respective.
Circle:
Area of the circle = `pi ` * r2 square units
Where, r is a radius of the circle.
Triangle:
Area of the triangle = `1/2` b * h square units
Where, b is breadth and h is height of the triangle.
Trapezoidal:
Area of the trapezoidal = `1/2` * a * (b1 + b2) square units
Where, a is side length of trapezoidal , b1 is base1 and b2 is base2 of the trapezoidal.
Parallelogram:
Area of the parallelogram = b * h square units
Where, b is base and h is perpendicular height. I have recently faced lot of problem while learning Bisector of a Triangle, But thank to online resources of math which helped me to learn myself easily on net.
Some example problems using the above area formulas in geometry:
Problem 1: Can you calculate the area of a parallelogram with a base of 5 inches and a height of 8 inches.
Solution:
Given: base is 5 inches and height is 8 inches.
We know that,
Area of the parallelogram = b * h square units
Area of the parallelogram = 5 * 8 = 40 square inches.
Therefore, the area of the parallelogram is 40 square inches.
Answer: The area of the parallelogram is 40 square inches.
Problem 2: The school park has a circular pond with a diameter of 6 feet. What is the pond's area?
Solution:
Given: d = 6 feet.
Therefore, radius = `6/2 ` = 3 feet
Area of the circle = p r2 square units.
The diameter is 6 feet. Replace d by 6 in the formula.
Area = p * 3 * 3 = 3.14 * 9 = 28.26 square units.
The area of the circle is 28.26 square feet.
Answer: The area of the circle is 28.26 square feet.
One more example problem using the above area formulas in geometry:
Problem: A square playground has an area of 100 square meters. How long is each side?
Solution:
The area of a square is the side length times itself.
Consider of a number that, when multiplied by itself, gives 100:
10 × 10 = 100
Each side is 10 meters long.
Answer: Each side is 10 meters long.
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