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## Geometry Terms

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

**- Points are used to specify exact locations.**

Points

Points

**- Distance between two points.**

Line Segment

Line Segment

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

Planes

Planes

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

Space

Space

**- An angle less than 90 degrees but greater than 0 degrees.**

Acute Angle

Acute Angle

**- A 90 degree angle.**

Right Angle

Right Angle

**- An angle greater than 90 degrees but less than 180 degrees.**

Obtuse Angle

Obtuse Angle

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

Vertex

Vertex

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

Radius

Radius

## 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:

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:

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:

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}.