The area of the shaded portion = Area of the square - Area of the circle

Area of square = Length x Length
Area of square = 2 cm x 2 cm
Area of square = 4 cm²

Area of a circle = πr²
Where r = radius
Diameter of the circle = 2 cm
Radius is half the diameter
Radius = $\frac{\mathrm{2\; cm}}{2}$ = 1 cm

π = $\frac{22}{7}$

r = 1 cm
r² = r x r

Area of the circle = $\frac{22}{7}$ x 1 cm x 1 cm = 3.14 cm²

Area of the shaded portion = 4 cm² - 3.14 cm²
Area of the shaded portion = 0.86 cm²

22 divided by 7

3.1428 ≈ 3.14 (2 decimal places)

Area of a circle = πr²
Where r = radius
Diameter of the circle = 2 cm
Radius is half the diameter
Radius = $\frac{\mathrm{2\; cm}}{2}$ = 1 cm

π = $\frac{22}{7}$

r = 1 cm
r² = r x r

Area of the circle = $\frac{22}{7}$ x 1 cm x 1 cm = 3.14 cm²

22 divided by 7

3.1428 ≈ 3.14 (2 decimal places)

Volume of a cylinder = πr²h
Where r = radius, h = height

π = $\frac{22}{7}$

r² = r x r
r = 7 cm
h = 5 cm

Volume of a cylinder = $\frac{22}{7}$ x 7 cm x 7 cm x 5 cm

Volume of a cylinder = 22 x 1 cm x 7 cm x 5 cm

Volume of a cylinder = 770 cm³

Area of a square = Length x Length = L²

225 = L²

Square means a number multiplied by itself

What number when it multiply by itself will produce 225?

That will be 15, thus 15 x 15 = 225 or 15² = 225

Hence the length is 15.00 cm

Volume of a cylinder = Πr²h

Volume = 40Π and height = 10

40Π = Πr² x 10

40Π = 10Πr²

Divide both sides by 10Π

4 = r²

Take square root of both sides

r = 2

Area of a rectangle = length x breadth

= L x B

Let L = 2 and B = ?

From the question the area is 18cm²

L x B = 18

But L = 2

2 x B = 18

Divide both sides by 2

Perimeter of a rectangle = L + L + B + B

= 2L + 2B

L = 2 and B = 9

Perimeter = 2 x 2 + 2 x 9

= 4 + 18

= 22 cm

The area of trapezium could be calculated by the formula below

The distance between the two parallel sides is the height.

a = 9.5 and b = 10.5

The area, A = 36

9.5 = 9+0.5

10.5 = 10+0.5

9.5 + 10.5 = 9+10+0.5+0.5

0.5 = half

0.5 + 0.5 = half + half = 1

9.5 + 10.5 = 9+10+1 = 20

36 = 10 x h

Divide both sides by 10

36/10 = h

3.6 = h

Parallelogram has two sides equal. Which means the other two sides of the parallelogram are also 5.8 m and 8.2 m.

Perimeter is the sum of the length of all sides

⇒ The perimeter of the parallelogram = 2x5.8 + 2x8.2 = 11.6+16.4 = 28.0 m

Perimeter is the sum of the length of the shape. A rectangle has two equal sides. Hence the total length (Perimeter) of a rectangle = 2L + 2B, where L = Length and B = Breadth

⇒ The perimeter of the rectangle = 2 x 10 + 2x6 = 20+12 = 32

A square has all 4 sides equal. Hence the perimeter of a square = 4 x L, where L means Length

Since the perimeter of the rectangle is the same as the perimeter of the square,

⇒ The perimeter of the square is also 32

⇒ 4L = 32

Divide both sides by 4

4L/4 = 32/4

⇒ L = 8

Area of a square = Length x Breadth

Length = Breadth

⇒ area of a square = Length x Length = L²

Length of the square is 8

⇒ the area of the square = 8 x 8 = 64 cm²

Area of a rectangle = length x breadth

= L x B

Let L = 2 and B = ?

From the question the area is 18cm²

L x B = 18

But L = 2

2 x B = 18

Divide both sides by 2

Perimeter of a rectangle = L + L + B + B

= 2L + 2B

L = 2 and B = 9

Perimeter = 2 x 2 + 2 x 9

= 4 + 18

= 22 cm