Knowee
Questions
Features
Study Tools

Circle A has a radius of 3n and circle B has a radiusof n129 , where n is a positive constant. The area ofcircle B is how many times the area of circle A?A) 43B) 86C) 129D) 1,849

Question

Circle A has a radius of 3n and circle B has a radiusof n129 , where n is a positive constant. The area ofcircle B is how many times the area of circle A?A) 43B) 86C) 129D) 1,849

🧐 Not the exact question you are looking for?Go ask a question

Solution

The area of a circle is given by the formula πr², where r is the radius of the circle.

For circle A, with radius 3n, the area is π(3n)² = 9πn².

For circle B, with radius n129, the area is π(n129)² = 16641πn².

To find out how many times the area of circle B is the area of circle A, we divide the area of circle B by the area of circle A:

16641πn² / 9πn² = 1849.

So, the area of circle B is 1849 times the area of circle A. The answer is D) 1,849.

This problem has been solved

Similar Questions

The area of circle A is equal to the sum of the area of two small circles with diameters of 6cm and 8cm. Then the diameter of circle A will be? 5 10 15 20

Find the circumference and the area of a circle with radius 2cm. Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.

The radius of a circle is 7 cm. Determine the radius of another circle whose area is 9 times of the first circle.  Ops:   A. 212 cm    B. 21 cm    C. 162 cm    D. 16 cm

Find the area and the circumference of a circle with radius 3m.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.3m

15.The area of a circle, A = πr2changes as its radius changes. If the radius changeswith respect to time, the change in area with respect to time is:a) constantb) dAdt= 2πrdrdtc) dAdr= 2πrd) dAdt= 2πr +drdte) impossible to find

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.