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## Geometry Terms

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Understanding of geometric terms work best for you and get more
comfortable in the subject.

Below are some terms you will need to know in order to begin your study of geometry:

Points - Points are used to specify exact locations.

Line Segment - Distance between two points.

Planes - A plane can be thought of as a two-dimensional flat surface, having length and width, but no height

Space - Space is the set of all possible points on an infinite number of planes. Thus, space covers all three dimensions – length, width, and height.

Acute Angle - An angle less than 90 degrees but greater than 0 degrees.

Right Angle - A 90 degree angle.

Obtuse Angle - An angle greater than 90 degrees but less than 180 degrees.

Vertex - The intersection point of two sides of a plane figure.

Radius - A straight line extending from the center of a circle or sphere to the circumference or surface.

## Geometry Word Problems

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##
Solved Examples

**Question 1: **Find the area of the circular ring having radius 12 cm.

** Solution: **
**Step 1:**

Radius of circle = 12 cm

Area of the circle = ?

Step 2:

Area of the circle = $\pi r^2$

= $\frac{22}{7}$ (12)^{2}= $\frac{22}{7}$ * 12 * 12

= $\frac{22}{7}$ * 144

= 452.6

Hence the area of the circle is 452.6 cm^{2} .

**Question 2: **Find the volume of the cylinder having radius 5 inches and height 8 inches.

** Solution: **
**Step 1:**

Radius of the cylinder (r) = 5 cm

Height of the cylinder (h) = 8 cm

Step 2:

Volume of a cylinder (V) = $\pi$ r^{2} h

= $\frac{22}{7}$ * 5^{2} * 6

= $\frac{22}{7}$ * 5 * 5 * 6

= $\frac{22}{7}$ * 150

= 471.42

Hence the volume of a cylinder is 471.42 inches^{3} .

**Question 3: **Find the surface area of a sphere of diameter 12 cm.(using $\pi$ =

$\frac{22}{7}$)

** Solution: **
**Step 1:**

Diameter of a sphere (d) = 12 cm

Therefore radius of a sphere (r) = $\frac{d}{2} = \frac{12}{2}$ = 6 cm

Step 2:

Surface area of a sphere(SA) = 4 $\pi r^2$

= 4 * $\frac{22}{7}$ * $6^2$

= 4 * $\frac{22}{7}$ * 6 * 6

= 4 * $\frac{22}{7}$ * 36

= 452.57

Hence surface area of a sphere is 452.57 cm^{2}.