SOLUTION: The diameters of 2 circles are in the ratio 3:4 and the sum of their areas is equal to the area of a circle whose diameter measure 30m. Find the diameters of the 2 circles. A=

Question 838484: The diameters of 2 circles are in the ratio 3:4 and the sum of their areas is equal to the area of a circle whose diameter measure 30m. Find the diameters of the 2 circles.
A= 706.5
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The diameters of 2 circles are in the ratio 3:4 and the sum of their areas is equal to the area of a circle whose diameter measure 30m.
Find the diameters of the 2 circles.
:
Their radii will also have a 3:4 ratio
let x = the multiplier
then
3x = the radius on one circle
and
4x = the radius of the other
:
=
divide thru by pi
9x^2 + 16x^2 = 225
25x^2 = 225
divide both sides by 25
x^2 = 9
x = 3 is the multiplier
then
3(3) = 9 is the radius of the 1st circle; diameter is 18
and
4(3) = 12 is the radius of the 2nd circle; diameter is 24

RELATED QUESTIONS
Calculate the radius of a circle whose area is equal to the sum of the areas of three?... (answered by rapaljer)

The diameter of the Circle are in the ratio 3:4 and the area of the circle is equal to... (answered by Alan3354)

The sum of diameters of two circles is 112 cm and the sum of their areas is 5236 cm^2.... (answered by TimothyLamb)

Find the area of a circle whose area equals the half of the sum of the areas of two... (answered by htmentor)

The diameter of a circle whose area is equal to the sum of the areas of the two circles... (answered by Theo)

The radius of a circle whose circumference is equal to the sum of the circumferences of... (answered by anantha)

Hello! What is the radius of a sphere whose area is equal to the sum of the areas of... (answered by Boreal,greenestamps)

The sum of the radii of two circles is equal to 17 centimeters. The sum of the areas of... (answered by scott8148)