TEAS Tutoring: Geometry

1. Radius 2. Diameter 3. Circumference 4. Area

1. The measurement from the center of a circle to its edge is? 2. The measurement across the full distance inside of a circle is? 3. The distance/perimeter of a complete circle is? 4. The space inside a circle is the?

100 ÷ 10 = *10 meters*

A rectangle with the length of 10 meters has an area of 100 sq. meters. What is the width of the rectangle?

The space inside something

Area is?

X: 10-6 = 4cm Y: 7-5 = 2cm P = 10+5+4+2+6+7 = *34cm* A= 10x5=50, 6x2=12. 50+12 = *62cm squared*

Find the area Find the perimeter

X: 4+2 = 6m Y: 7+1 = 8m P = 7+4+1+2+8+6 = *28m* A= 1x2=2, 7x6=42. 2+42= *44m squared*

Find the area Find the perimeter

X: 5+7 = 12mm Y: 30-20 = 10mm P = 30+5+20+7+10+12 = *84mm* A= 7x10=70, 5x30= 150. 70+150 = *220mm squared*

Find the area Find the perimeter

X: 8-5=3cm P: 8+10+5+7+3+3 = *36cm* A: 8x3=24, 7x5=35. 35+24= *59cm squared*

Find the area Find the perimeter

A = 1x10 = *10m squared*

Find the area:

A = 5x7 = *35m squared*

Find the area:

A = 7x4=28, 6x15=90. 28+90 = *118cm squared*

Find the area:

Radius x 2

How do you solve for the diameter of a circle?

Diameter ÷ 2

How do you solve for the radius of a circle?

*If the problem says its a square, then it is safe to assume that all sides are equal. So for the square: W=12cm and L=12cm *Since the square has a width of 12cm, you can also say that the diameter of the circle is 12cm! Area of the square = 12x12 = 144cm squared Area of the circle = 12÷2=6. 6x6=36.... 36π or 113.04cm Answer: 144-113.04 = *30.96cm*

If the length of this square is 12cm, what is the area of the shaded region in between the circle and the square?

*If the problem says its a square, then it is safe to assume that all sides are equal. So for the square: W=10cm and L=10cm *Since the square has a width of 10cm, you can also say that the diameter of the circle is 10cm! Area of the square = 10x10 = 100cm squared Area of the circle = 10÷2=5. 5x5=25.... 25π or 78.5cm Answer: 100-78.5 = *21.5cm*

If the width of this square is 10cm, what is the area of the shaded region in between the circle and the square?

The distance around something

Perimeter is?

3.14

Pie (π) = ______

Units squared!

The Area of a rectangle (regular or irregular) must be written in?

200 ÷ 2 = *10 feet*

The area of a rectangle is 200 sq. feet. If the length of the rectangle is 20 feet, what is the width?

Shapes inside of shapes; like a circle inside of a square. They will then ask question about measurements of either of the two shapes

What will inscription geometry questions be like?

6+6 = 12 20-12 = 8 8 ÷ 2 = *4feet*

The perimeter of a rectangle is 20 feet. If the length is 6 feet, what is the width?

1. Rectangles: simple and irregular 2. Circles and half circle 3. Inscription 4. Pythagreon theorum

What are the 4 types of geometry questions that we may see on the TEAS?

A= 16x2 = *32 units squared* P= 16+2+16+2= *36 units*

What is the area of a rectangle with a width of 2 and a length of 16? What is the perimeter?

A= 6x2 = *12 units squared* P= 6+2+6+2= *16 units*

What is the area of a rectangle with a width of 2 and a length of 6? What is the perimeter?

A= 3x4 = *12 units squared* P= 3+4+3+4 = *14 units*

What is the area of a rectangle with a width of 3 and a length of 4? What is the perimeter?

A= 10x5 = *50 units squared* P= 10+5+10+5 = *30units*

What is the area of a rectangle with a width of 5 and a length of 10? What is the perimeter?

A= 6x5 =* 30 units squared* P= 5+6+5+6= *22 units*

What is the area of a rectangle with a width of 5 and a length of 6? What is the perimeter?

Circumference = *14π or 43.96mm* (14x3.14) Area = 14 ÷ 2=7. 7x7 = 49.... *49π or 153.86mm* (49x3.14)

What is the circumference of a circle whose Diameter = 14mm? What is the area?

Circumference = *18π or 56.52m* (18x3.14) Area = 9x9=81..... *81π or 254.34* (81x3.14)

What is the circumference of a circle whose Radius = 9m? What is the area?

Circumference = *12π or 37.68cm* (12x3.14) Area = 12 ÷ 2 = 6. 6x6=36..... *36π or 113.04* (36x3.14)

What is the circumference? What is the area?

Circumference = *16π or 50.24cm* (16x3.14) Area = 16÷2 = 8. 8x8=64... *64π or 200.96cm* (64x3.14)

What is the circumference? What is the area?

Circumference = 3+3=6. *6π or 18.84km* Area = 3x3=9. *9π or 28.26km* (9x3.14)

What is the circumference? What is the area?

Circumference = 10π or 31.4 Answer = a) 10π

What is the distance around a circle whose diameter = 10? a) 10π b) 5π c) 31.4π d) 25.7

r-squaredxπ (r squared times pie)

What is the formula for area of a circle?

dxπ (diameter times pie) = distance/perimeter around the circle

What is the formula for the circumference of a circle?

LxW

What is the formula to find the Area of a rectangle?

Simple rectangle: L+W+L+W Irregular rectangle: Add each side together

What is the formula to find the Perimeter of a rectangle?