Introduction to solving geometry problems online:
Geometry is a part of math which involves the study of shapes, lines, angles, dimensions, etc. it plays vital role real time application like elevation, projection. Learning geometry provides many foundational skills and helps to build the thinking skills of logic, deductive reasoning, and analytical reasoning. Flat shapes like lines, circles and triangles are called the Plane Geometry. Solid (3-dimensional) shapes like spheres and cubes are called Solid geometry. In this article we shall discuss about solving geometry problems online.
I like to share this Surface Area of a Hemisphere Formula with you all through my article.
Sample problems for online geometry solving:
Example 1:
The perimeter of a rectangle is 800 meters and its length L is 3 times its width W. Find W and L, and the area of the rectangle.
Solution:
Perimeter of rectangle=2L+2W,
2 L + 2 W = 800
We now rewrite the statement. Its length L is 3 times its width into a mathematical equation as follows:
L = 3 W
We have to substitute L =3W in the equation 2 L + 2 W = 800
2(3 W) + 2 W = 800
8 W = 800
W =100 meters
Use the equation L = 3 W to find L.
L = 3 W = 225 meters
Use the formula of the area.
Area = L x W = 225 * 100 = 22500 meters 2.
So, the area of the rectangle=22500 meters 2.
Example online geometry solving problem 2:
A perimeter of the triangle is 50cm. If 2 of its sides are equal and also the third side is 5cm more than the equal sides, find the length of the third side?
Solution:
Let x = length of the equal side.
Third side=5 more than the equal side=x+5
So, the three sides are x, x and x+5.
P = sum of the three sides
x+ x+(x+5) =50
Combine like terms
3 x + 5=50
3x = 50 – 5
3x = 45
x =15cm (equal sides)
Length of the third side=x+5=15+5=20cm
The length of third side is 20cm.
Example online geometry solving problem 3:
A circle has an area of 100pi square units. What is the length of the circle's diameter and circumference?
Solution:
Area of the circle
A = (pi)*r^2
100pi = (pi)*r^2
(100pi) / pi = [(pi)*r^2] / pi
100= r^2
10 = r
So, the radius=10units
Diameter=2(radius) =20 units
Circumference= (pi)*d
=20pi units (or)
Substitute the value of pi=3.14
=62.8units
Circumference=20pi units (or) 62.8 units.
Understanding Quadratic Equation Calculator is always challenging for me but thanks to all math help websites to help me out.
Practice problems for online geometry solving:
Problems:
A circle has an area of 80pi square units. What is the length of the circle's diameter and circumference?
Answer: 16 pi units.
A circle has an area of 60pi square units. What is the length of the circle's diameter and circumference?
Answer: 12 pi units.
Geometry is a part of math which involves the study of shapes, lines, angles, dimensions, etc. it plays vital role real time application like elevation, projection. Learning geometry provides many foundational skills and helps to build the thinking skills of logic, deductive reasoning, and analytical reasoning. Flat shapes like lines, circles and triangles are called the Plane Geometry. Solid (3-dimensional) shapes like spheres and cubes are called Solid geometry. In this article we shall discuss about solving geometry problems online.
I like to share this Surface Area of a Hemisphere Formula with you all through my article.
Sample problems for online geometry solving:
Example 1:
The perimeter of a rectangle is 800 meters and its length L is 3 times its width W. Find W and L, and the area of the rectangle.
Solution:
Perimeter of rectangle=2L+2W,
2 L + 2 W = 800
We now rewrite the statement. Its length L is 3 times its width into a mathematical equation as follows:
L = 3 W
We have to substitute L =3W in the equation 2 L + 2 W = 800
2(3 W) + 2 W = 800
8 W = 800
W =100 meters
Use the equation L = 3 W to find L.
L = 3 W = 225 meters
Use the formula of the area.
Area = L x W = 225 * 100 = 22500 meters 2.
So, the area of the rectangle=22500 meters 2.
Example online geometry solving problem 2:
A perimeter of the triangle is 50cm. If 2 of its sides are equal and also the third side is 5cm more than the equal sides, find the length of the third side?
Solution:
Let x = length of the equal side.
Third side=5 more than the equal side=x+5
So, the three sides are x, x and x+5.
P = sum of the three sides
x+ x+(x+5) =50
Combine like terms
3 x + 5=50
3x = 50 – 5
3x = 45
x =15cm (equal sides)
Length of the third side=x+5=15+5=20cm
The length of third side is 20cm.
Example online geometry solving problem 3:
A circle has an area of 100pi square units. What is the length of the circle's diameter and circumference?
Solution:
Area of the circle
A = (pi)*r^2
100pi = (pi)*r^2
(100pi) / pi = [(pi)*r^2] / pi
100= r^2
10 = r
So, the radius=10units
Diameter=2(radius) =20 units
Circumference= (pi)*d
=20pi units (or)
Substitute the value of pi=3.14
=62.8units
Circumference=20pi units (or) 62.8 units.
Understanding Quadratic Equation Calculator is always challenging for me but thanks to all math help websites to help me out.
Practice problems for online geometry solving:
Problems:
A circle has an area of 80pi square units. What is the length of the circle's diameter and circumference?
Answer: 16 pi units.
A circle has an area of 60pi square units. What is the length of the circle's diameter and circumference?
Answer: 12 pi units.
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