Calculate Circle Area: Converting 7cm Diameter Using π

Given that the diameter of the circle is 7 cm

What is the area?

777

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Step-by-step video solution

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00:00 Find the area of the circle
00:03 The diameter of the circle equals twice the radius
00:07 Let's isolate radius R, this is radius R
00:13 Let's use the formula for calculating circle area
00:18 Let's substitute the radius value and solve for the area
00:33 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given that the diameter of the circle is 7 cm

What is the area?

777

2

Step-by-step solution

First we need the formula for the area of a circle:

πr2 \pi r^2

In the question, we are given the diameter of the circle, but we still need the radius.

It is known that the radius is actually half of the diameter, therefore:

r=7:2=3.5 r=7:2=3.5

We substitute the value into the formula.

π3.52=12.25π \pi3.5^2=12.25\pi

3

Final Answer

12.25π 12.25\pi cm².

Practice Quiz

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The center of the circle in the diagram is O.

What is the area of the circle?

555OOO

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