Find the area of the circle with a circumference of 30π . Write your solution in terms of π and round to the nearest hundredth.

Area in terms of π:____

Answer Choices:

Find the area of the circle with a circumference of 30π Write your solution in terms of π and round to the nearest hundredth Area in terms of π Answer Choices class=

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Hi again.

Answer

= option d, 225π mm^2

Circumference = 2πr

30π = 2πr

30 = 2r

30 / 2 = r

15 = r

Area = π[tex]r^{2}[/tex]

[tex]15^{2}[/tex]π

225π

The area of the circle in terms of the π will be 225π mm²

What is an area of the circle?

The area of the circle is defined as the space occupied by the circle in the three-dimensional plane. The circle is the locus of the point equidistant from its centre.

It is given in the question that:-

Circumference = 2πr

30π = 2πr

30 = 2r

30 / 2 = r

15 = r

Area = πr²

Area =π(15)²

Area = 225π  mm²

Hence the area of the circle will be 225π  mm²

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