Question

Ella takes a cupcake tray, measures the bottom of one of the cups, and calculates that it has a circumference of 62.8 centimetres. What is the cup's bottom area? Use 3.14 for π

Answer 1

The area is 314.2 cm².

• The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = $\pi r^{2}$, where r is the circle's radius, is the formula for calculating a circle's surface area.
• For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. The area formula will also enable us to determine the circle's circumference, or the border length.

Here, according to the given information, it is given that,

The circumference of the circular base is 62.8 cm.

Then, $2\pi r = 62.8$

Or, r = 10 cm.

Then, the area is $\pi 10^{2} = 314.2$ cm²

Hence, the area is 314.2 cm².

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