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If diameter of a circle is twice as large as the diameter of a smaller circle, What
is the ratio of area of larger circle to area of smaller circle?

Kindly solve this question in an understandable way.

Respuesta :

jasdul1375

Answer:

The ratio of area of larger circle to area of smaller circle is 4:1

Step-by-step explanation:

Area of circle A=πr², d(diameter) = 2r(radius)

Area  of larger circle = πR²

Area  of smaller circle = πr²

Diameter of larger circle  = 2 diameter of smaller circle

D =2 d

2R =2*2r

2R = 4r divide by 2

R =2r

Area  of larger circle = πR²=π(2r)² = π*4r²

Area  of smaller circle = πr²

π*4r²/ πr² =4/1

wegnerkolmp2741o

Answer:

see below

Step-by-step explanation:

Smaller circle

radius = r

A = pi r^2

Larger circle

radius = 2r

A = pi (2r)^2 = 4pi r^2

larger area / smaller area

4 pi r^2 / pi r^2

4/1

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