Calculate Circle Area: Finding the Area When Diameter = 13

Look at the circle in the figure:

131313

The diameter of the circle is 13.

What is its area?

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Step-by-step video solution

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00:00 Calculate the area of the circle
00:03 The diameter of the circle according to the given data
00:07 The diameter of the circle equals twice the radius
00:11 Let's calculate the radius
00:14 Use the formula to calculate the circle's area
00:17 Substitute the radius value and solve to find the area
00:20 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Look at the circle in the figure:

131313

The diameter of the circle is 13.

What is its area?

2

Step-by-step solution

First, let's remember what the formula for the area of a circle is:

S=πr2 S=\pi r^2

The problem gives us the diameter, and we know that the radius is half of the diameter therefore:

132=6.5 \frac{13}{2}=6.5

We replace in the formula and solve:

S=π×6.52 S=\pi\times6.5^2

S=42.25π S=42.25\pi

3

Final Answer

42.25π

Practice Quiz

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A circle has a circumference of 31.41.

What is its radius?

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