Mathematics: Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2. Circle B has a diameter of approximately 60 inches. Which of these could be the area of Circle B?

Circle A has a diameter of approximately 20 inches - id209388636, 2024cynthiatercero

zach32131

01.12.2020

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (), measured in square inches, is directly proportional to the square of its diameter (), measured in inches. That is:

$A \propto d^{2}$

$A = k\cdot d^{2}$

Where is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

$\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}$

The area of the circle B is now cleared:

$A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}$

Given that $d_{A} = 20\,in$ , $d_{B} = 60\,in$ and $A_{A} = 300\,in^{2}$ , then:

$A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})$

$A_{B} = 2700\,in^{2}$

Therefore, the correct answer is 4.

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numb2000

09.11.2022

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

25 meters

= (125/1) meters/min = 125 m/min

(1/5) minute

This is equivalent to about 380 ft/min

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