Find the area of the figure. Round your answer to the nearest hundredth, if necessary. (12cm)

The answer is 56.52 square centimeters

Step-by-step explanation:

The area of a circle is Pi R^2 so that means the area of a semi circle is half of that which is Pi R^2/2

since diameter is 12, radius = 12/2 = 6

Area = (3.14 × 6^2)÷2 = 56.52

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:

Perimeter of Rectangle  =  2  ×  Length  +  2  ×  Breadth

The perimeter can be represented using a model as below.

Perimeter  =  Length  +  Breadth  +  Length  +  Breadth

=  2  ×  Length  +  2  ×  Breadth

Length  +  Breadth  =  Perimeter  ÷  2

What is the perimeter of a Square?

Perimeter of Square  =  4  ×  Length

Property of a square: All sides are equal.Perimeter  =  Length  +  Length  +  Length  +  Length

=  4  ×  Length

What is the formula to calculate Area of a Rectangle and a Square?

Area of Rectangle  =  Length  ×  Breadth

Area of Square  =  Length  ×  Length

Let's find the area of the rectangle below.

To find the area of the rectangle, we find out how many one-centimetre squares we can fit into the rectangle.

Area of the rectangle  =  4  ×  2

=  8 cm2

We need 8 one-centimetre squares to make a rectangle 4 cm long and 2 cm wide.

The area of the rectangle is 8 cm2.

1. Find the area and perimeter of a rectangle with a length of 6 cm and a breadth of 4 cm.

Area  =  Length  ×  Breadth

=   6  ×  4

=   24 cm2

Perimeter  =  2  ×  Length  +  2  ×  Breadth

=   2  ×  6  +  2  ×  4

=   12  +  8

=   20 cm

2. A square table cloth has a side of 5 m. What are its perimeter and area?

Area  =  5  ×  5

=   25 m2

Perimeter  =  4  ×  5

=   20 m

3. A 4 m long rectangular mat has an area of 12 m2.

a)  What is its breadth?

b)  What is its perimeter?

a)   Area  =  Length  ×  Breadth

Breadth  =  Area  ÷  Length

=   12  ÷  4

=   3 m

b)   Perimeter  =  2  ×  Length  +  2  ×  Breadth

=   ( 2  ×  4 )  +  ( 2  ×  3 )

=   8  +  6

=   14 m

4. Monty joins 4 identical straws to form a square of area 144 cm2.

What is the perimeter of the square formed?

Area of Square  =  Side  ×  Side

144  =  12  ×  12

Side  =  12 cm

Step-by-step explanation: