Showing posts with label geometry tests. Show all posts
Showing posts with label geometry tests. Show all posts

Tuesday, March 12, 2013

Geometry Tests

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