The Lesson

The area that a circle is uncovered using the formula:
*
In this formula, d is the diameter that the circle. The image listed below shows what we typical by diameter:
*

Interactive Widget

Use this interaction widget to attract a circle and then calculate its area indigenous the diameter. Start by clicking in the shaded area.

You are watching: Area of circle with diameter of 10


How to uncover the Area the a Circle using the Diameter

Finding the area of a circle utilizing the diameter is easy.

Question

What is the area the a circle v a diameter that 10 cm, as displayed below?
*

Area = π × 102⁄4

Area = π × 10 × 10 ÷ 4

Area = π × 100 ÷ 4

Area = π × 25

Area = 3.14 × 25

Area = 78.5 cm2


Lesson Slides

The slider below shows an additional real instance of exactly how to uncover the area of a circle utilizing the diameter.Open the slider in a new tab

How to uncover the Area that a Circle making use of the Radius

The area that a circle deserve to be discovered using the radius rather than the diameter.The area of a circle, making use of the radius, is uncovered using the formula:
*
In the formula, r is the radius of the circle. The image below shows what we average by radius:
*
Read more about exactly how to uncover the area the a circle utilizing the radius

What Is a Circle?

A one is a form containing a set of points that are all the same distance indigenous a provided point, its center.

Why walk This Formula Work?

The formula for the area that a circle is better known in terms of the radius:
*
The radius can be found from the diameter. The radius is half the length of the diameter:
*
Substitute d⁄2 for r:
*
The d⁄2 in the brackets is gift squared. As soon as a portion is squared, both the numerator and the denominator room squared:
*
This is is formula because that the area of a circle utilizing the diameter.

A keep in mind on Units

The area of a circle is a length times a length, so us say its dimension is length2. (All areas are lengths squared).This affect the devices used. If the diameter is in cm, the area is in cm2. If that is in inches, the area is in inches2.

See more: 7 Zip Codes In Upper East Side Ny Zip Codes, Upper East Side, Ny New York, Ny Neighborhood


Help united state To boost Mathematics MonsterDo girlfriend disagree through something on this page?Did you spot a typo?Please tell united state using this form

See Also

What is a circle?What is pi?What is the diameter?Find the area that a circle using the radiusHow to find the radius native the diameterThe exponent whereby the base is a fractionWhat is the numerator?What is the denominator?

The Test

Here space 3 randomly selected inquiries from a larger test that can be printed to produce a handout or sent to students electronically.