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

Leave your answer in terms of π.

He diagram shows a circle.Work out the area of the circle. Leave your answer in terms-example-1
User Manolowar
by
8.6k points

2 Answers

3 votes

Answer:

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

User Dayshawn
by
8.4k points
7 votes

Final Answer:

⇒ 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}

User MaxWorld
by
7.9k points

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