The LessonThe area of a one is discovered using the formula:
In this formula, d is the diameter that the circle. The image listed below shows what we typical by diameter:
Interactive WidgetUse this interaction widget to draw a circle and then calculate its area indigenous the diameter. Start by click in the shaded area.
You are watching: What is the area of a circle with a diameter of 10cm
How to find the Area that a Circle using the DiameterFinding the area the a circle making use of the diameter is easy.
QuestionWhat is the area that a circle with a diameter the 10 cm, as presented 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 SlidesThe slider below shows another real example of exactly how to uncover the area the a circle making use of the diameter.Open the slider in a new tab
How to find the Area the a Circle making use of the RadiusThe area of a circle deserve to be discovered using the radius fairly than the diameter.The area that a circle, making use of the radius, is found using the formula:
In the formula, r is the radius that the circle. The image listed below shows what we median by radius:
Read an ext about just how to discover the area the a circle making use of the radius
What Is a Circle?A circle is a form containing a set of clues that room all the exact same distance from a offered point, its center.
Why go This Formula Work?The formula for the area the a one is much better known in terms of the radius:
The radius have the right to be uncovered from the diameter. The radius is fifty percent the size of the diameter:
Substitute d⁄2 because that r:
The d⁄2 in the base is being squared. When a fraction is squared, both the numerator and also the denominator room squared:
This is is formula because that the area of a circle making use of the diameter.
A keep in mind on UnitsThe area that a circle is a length times a length, so us say its measurement is length2. (All locations are lengths squared).This affects the devices used. If the diameter is in cm, the area is in cm2. If the is in inches, the area is in inches2.
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