Question

1. What is the area of a circle with a diameter of 8 cm?

Answer 1

The area of the circle is 16π square centimeters. If you need a decimal approximation, you can use 3.14 or a more precise value of π depending on the level of accuracy required.

Explanation:

To find the area of a circle with a diameter of 8 cm, we need to use the formula for the area of a circle, which is:

`\sf\qquad\dashrightarrow A = \pi r^2`

where:

• A is the area
• r is the radius

We know that the diameter is 8 cm, so we can find the radius by dividing the diameter by 2:

`\sf:\implies Radius = (Diameter)/(2) = (8)/(2) = 4 cm`

Now we can substitute the radius into the formula for the area:

`\sf:\implies A = \pi (4)^2`

Simplifying:

`\sf:\implies A = \pi(16)`

`\sf:\implies \boxed{\bold{\:\:A = 16\pi \:\:}}\:\:\:\green{\checkmark}`

Therefore, the area of the circle is 16π square centimeters. If you need a decimal approximation, you can use 3.14 or a more precise value of π depending on the level of accuracy required.