Circle A has a diameter of approximately 20 inches and an area of 300 ..&nbsp;Circle B has a diameter of approximately 60 inches.&nbsp;Which of these could correspond to circle B's area?&nbsp;100∈2&nbsp;or&nbsp;300∈2&nbsp;or 900 or&nbsp;∈22,700∈2.

Question

Circle A has a diameter of approximately 20 inches and an area of 300 ..&amp;nbsp;Circle B has a diameter of approximately 60 inches.&amp;nbsp;Which of these could correspond to circle B&#039;s area?&amp;nbsp;100∈2&amp;nbsp;or&amp;nbsp;300∈2&amp;nbsp;or 900 or&amp;nbsp;∈22,700∈2.

smallq9 · Accepted Answer

The area of a circle (A), measured in square inches, is directly proportional to the square of its diameter (d), measured in inches.&amp;nbsp;That is:A∞d2&amp;nbsp;Where is the constant of proportionality, dimensionless.&amp;nbsp;In consequence, It is possible to obtain circles A and B&#039;s relationship as follows.:&amp;nbsp;ABAA=dB2dA2&amp;nbsp;The area of the circle B is now cleared:&amp;nbsp;AB=(dBdA)2⋅AA&amp;nbsp;Given that&amp;nbsp;dA=20∈,dB=60∈&amp;nbsp;and&amp;nbsp;AA=300∈2, then:&amp;nbsp;AB=(60∈20∈)2⋅(300∈2)&amp;nbsp;AB=2700∈2&amp;nbsp;Hence, the correct answer is 4.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Circle A has a diameter of approximately 20 inches and

Answered question

Answer & Explanation

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