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Area

### Basic Area Formula Sheet

Square/ / Area = the length of the side squared

Rectangle

/ / Area = length multiplied by width

Triangle

/ / Area = half of the length of the base multiplied by the perpendicular height

Circle

/ / Area = pi multiplied by the radius of the circle squared

Parallelogram

/ / Area = the length of the base multiplied by the perpendicular height.

Trapezium

/ / Area = the length of the base multiplied by the perpendicular height.

### Question

Calculate the area of the shaded shape where the radius of the larger circle (OQ) is 10cm.

Next, we will have a suggested marks line.

[24 Marks]

**How We Drew The Diagram**

### Solution

### Question

Calculate the area of this shape

Next, we will have a suggested marks line.

[25 Marks]

**How We Drew The Diagram**

### Solution

A(shape) = A(rectangle) + A(trapezium) – A(square)

Rectangle

Square

Trapezium

### Question

Find the area of this teardrop shape where the 14m side is tangential to the circular arc.

Next, we will have a suggested marks line.

[27 Marks]

**How We Drew The Diagram**

### Solution

### Question

Find the area of the shaded region bounded by these four congruent circles

Next, we will have a suggested marks line.

[24 Marks]

**How We Drew The Diagram**

### Solution

### Question

Find the area of the shaded regions

Next, we will have a suggested marks line.

[23 Marks]

**How We Drew The Diagram**

### Solution

Desired area is twice the area shown above.

Question

Find the area of this shape. You can assume that sides that appear parallel are parallel.

Next, we will have a suggested marks line.

[23 Marks]

**How We Drew The Diagram**

Solution

This is one way of subdividing the shape. Other divisions are acceptable

Question

Find the area of this shape that is defined by quarter circles that have centres and end points that lie on a 3cm grid.

Next, we will have a suggested marks line.

[26 Marks]

**How We Drew The Diagram**

Solution

There are many ways of dissecting this area, all of which are equally valid. Any valid approach should be awarded full marks.

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