Question

He diagram shows a circle.Work out the area of the circle.

Leave your answer in terms of π.

Answer 1

16 π

Explanation:

Diameter of circle = 8 cm

Radius of circle = 8 ÷ 2 = 4 cm

Area of circle = π × radius² = π r²

`area = \pi \: r {}^(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \pi \: (4) {}^(2) \\ \: \: \: \: \: \: \: \: \: \: = 16 \: \pi`

Answer 2

⇒ A = 16π

In-depth explanation:

Hi! This question is asking us to find the area of the circle, given that its diameter is 8 cm.

To work out the area, we divide the diameter by 2:

`\bf{Radius=Diameter/2}`

`\bf{Radius=8/2}`

`\bf{Radius=4}`

Plug the radius into the formula:

`\implies\bf{A=\pi r^2}`

`\implies\bf{A=\pi*4^2}`

`\implies\bf{A=\pi *16}`

`\implies\bf{A=16\pi}`