The formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is 20 cm, the radius would be half of that, which is 10 cm. Plugging in the radius into the formula, we get A = π(10)^2 = 100π cm^2. Therefore, the area of the circle with a diameter of 20 cm is 100π square centimeters.
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radius = diameter ÷ 2
area_circle = π x radius2
= π x (20 cm ÷ 2)2
= 100π cm2
≈ 314 cm2
The area of a circle with a diameter of 20 cm is: 314.2 cm2
To find the diameter of a circle with a given area, you first need to calculate the radius using the formula for the area of a circle: A = πr^2. Given that the area is 314 cm^2, you can rearrange the formula to solve for the radius, which would be √(A/π). Plugging in the area, you get √(314/π) ≈ 10 cm. Finally, to find the diameter, you double the radius, resulting in a diameter of approximately 20 cm.
The diameter of the circle works out as 20 units to the nearest whole number
A circle with a radius of 10 cm has an area of 314.16 square cm
Area of circle: pi*10^2 = 100*pi square inches