Introduction:
Geometry is a part of mathematics. It used to calculate the measurements of angles, lines, surfaces and solid shapes. Geometry is using for depicting all kinds of shapes and their properties. Please express your views of this topic Tangent Line Problem by commenting on blog.
There are two main classifications in Geometry.
1) Plane Geometry
2) Solid Geometry
Example problems:
Problem 1: Find the volume of cone with radius 6 cm and height 10 cm.
Solution:
Given: Radius = 6 cm
Height = 10 cm.
Volume of cone = `(1/3)` * ` pi` * radius2 * height
= `(1/3)` * 3.14 * 62 * 10
= 0.33 * 3.14 * 36 *10
= 373.032 cubic cm.
The volume of cone is 373.032 cubic cm
Problem 2: Find the Perimeter of Parallelogram for the side a is 5 and side b is 9.
Solution:
Given: Side a = 5
Side b = 6
Perimeter of Parallelogram P = (2 * 5) + (2 * 9)
P = 10 + 18
P = 28
The Perimeter of Parallelogram is 28
Problem 3: Find the circle area and circumference radius with 6 cm.
Solution:
Given: Radius = 9 cm
Area of Circle = `pi ` * radius2
= 3.14 * 62
= 3.14 * 36
= 113.04 square cm.
The Area of Circle is 113.04 square cm
Circumference of Circle = 2 * `pi` * radius
= 2 * 3.14 * 9
= 37.68 cm
The circumference of circle 37.68 cm
Problem 4: Find the Area of triangle with height 3 cm and Base 4 cm.
Solution:
Given: Height = 3 cm
Base = 4 cm
Area of Triangle = (1/2) * height * base
= 0.5 * 3* 4
= 6 square cm
The Area of Triangle 6 square cm
Problem 5: Find the Area of Triangle with height 10 cm and Base 12 cm.
Solution:
Given: Height = 10 cm
Base = 12 cm
Area of Triangle =(1/2) * height * base
= 0.5 * 10* 12
= 60 square cm
The Area of Triangle = 60 square cm
Problem 6: Find the Perimeter of Parallelogram of the side a is 7 and side b is 8.
Solution:
Given: Side a = 7
Side b = 8
Perimeter of Parallelogram P = (2 * 7) + (2 * 8)
P = 14 + 16
P = 30
The Perimeter of Parallelogram = 30
Problem 7: Find the circle area and circumference radius with 7 cm.
Solution:
Given: Radius = 9 cm
Area of Circle = π * radius2
= 3.14 * 72
= 3.14 * 49
= 153.86 square cm
The area of circle 153.86 square cm
Circumference of Circle = 2 * π * radius
= 2 * 3.14 * 7
= 43.96 cm
The Circumference of Circle = 43.96 cm
Geometry is a part of mathematics. It used to calculate the measurements of angles, lines, surfaces and solid shapes. Geometry is using for depicting all kinds of shapes and their properties. Please express your views of this topic Tangent Line Problem by commenting on blog.
There are two main classifications in Geometry.
1) Plane Geometry
2) Solid Geometry
Example problems:
Problem 1: Find the volume of cone with radius 6 cm and height 10 cm.
Solution:
Given: Radius = 6 cm
Height = 10 cm.
Volume of cone = `(1/3)` * ` pi` * radius2 * height
= `(1/3)` * 3.14 * 62 * 10
= 0.33 * 3.14 * 36 *10
= 373.032 cubic cm.
The volume of cone is 373.032 cubic cm
Problem 2: Find the Perimeter of Parallelogram for the side a is 5 and side b is 9.
Solution:
Given: Side a = 5
Side b = 6
Perimeter of Parallelogram P = (2 * 5) + (2 * 9)
P = 10 + 18
P = 28
The Perimeter of Parallelogram is 28
Problem 3: Find the circle area and circumference radius with 6 cm.
Solution:
Given: Radius = 9 cm
Area of Circle = `pi ` * radius2
= 3.14 * 62
= 3.14 * 36
= 113.04 square cm.
The Area of Circle is 113.04 square cm
Circumference of Circle = 2 * `pi` * radius
= 2 * 3.14 * 9
= 37.68 cm
The circumference of circle 37.68 cm
Problem 4: Find the Area of triangle with height 3 cm and Base 4 cm.
Solution:
Given: Height = 3 cm
Base = 4 cm
Area of Triangle = (1/2) * height * base
= 0.5 * 3* 4
= 6 square cm
The Area of Triangle 6 square cm
Problem 5: Find the Area of Triangle with height 10 cm and Base 12 cm.
Solution:
Given: Height = 10 cm
Base = 12 cm
Area of Triangle =(1/2) * height * base
= 0.5 * 10* 12
= 60 square cm
The Area of Triangle = 60 square cm
Problem 6: Find the Perimeter of Parallelogram of the side a is 7 and side b is 8.
Solution:
Given: Side a = 7
Side b = 8
Perimeter of Parallelogram P = (2 * 7) + (2 * 8)
P = 14 + 16
P = 30
The Perimeter of Parallelogram = 30
Problem 7: Find the circle area and circumference radius with 7 cm.
Solution:
Given: Radius = 9 cm
Area of Circle = π * radius2
= 3.14 * 72
= 3.14 * 49
= 153.86 square cm
The area of circle 153.86 square cm
Circumference of Circle = 2 * π * radius
= 2 * 3.14 * 7
= 43.96 cm
The Circumference of Circle = 43.96 cm
