Question

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:

Answer 1

Hi again.

Answer

= option d, 225π mm^2

Circumference = 2πr

30π = 2πr

30 = 2r

30 / 2 = r

15 = r

Area = π$r^{2}$

$15^{2}$π

225π

Answer 2

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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