Question

Work out the Area of this circle.

Give your answer in terms of pi and state its units.

14 cm is the diameter.
PLEASE CAN YOU STATE ITS UNITS

Answer 1

Explanation:

To find the area of a circle, we use the formula A = πr^2, where A represents the area and r represents the radius of the circle.

In this case, the radius of the circle is given as 14 cm.

To find the area, we substitute the value of the radius into the formula:

A = π(14 cm)^2

Simplifying the equation, we have:

A = π(196 cm^2)

To find the value of A, we multiply π (approximately 3.14159) by 196 cm^2:

A ≈ 3.14159 × 196 cm^2

Calculating the product, we get:

A ≈ 615.75244 cm^2

Rounding to the appropriate number of significant figures, the area of the circle is approximately 615.8 cm^2.

Therefore, the area of the circle is approximately 615.8 cm^2, with units in square centimeters.

Answer 2

Area = 49π

Unit = square centimetre

Explanation:

The area of a circle is calculated using the following formula:

`\sf \textsf{Area of a circle} = \pi r^2`

where:

• π is a mathematical constant approximately equal to 3.14159
• r is the radius of the circle

Since the diameter is 14 cm, the radius is half of diameter. So,

`\sf radius (r)= ( 14 cm)/(2)= 7 cm`

Substituting the value of the radius in the above formula, we get

`\sf \textsf{Area of a circle} = \pi (7cm) ^2`

`\sf \textsf{Area of a circle} =49 \pi cm^2\textsf{ in terms of } \pi`

Units:

The area of a circle is measured in square units. In this case, the unit is square centimetre (cm²).

Therefore, the area of the circle is 49π cm².