Answer:
a) 3/4
b) 4:3
Step-by-step explanation:
Find the diagram attached.
Given the scale factor of circle A to circle B as 3/4
A:B = 3:4
Total ratio = 3+4 = 7
Area of bigger square A = 45sq. units;
The Total area can be gotten using the expression;
[tex]\frac{4}{7} \times x = 45[/tex] where;
x is the total area of both circles.
Get x;
[tex]\frac{4}{7} \times x = 45\\4x = 7 \times 45\\4x = 315\\x = \frac{315}{4}\\x = 78.75[/tex]
Area of circle B = 78.75 - 45 = 33.75
Let the fraction required be y
45 * y = 33.75
y = 33.75/45
y = 3375/4500
y = 45/60
y = 3/4
Hence the area of circle B is 45 * 3/4 of circle A
b)The ratio of circle A to Circle B is expressed as;
Ratio = Area of circle A/Area of circle B
Ratio = 45/33.75
Ratio = 45 * 100/3375
ratio = 4500/3375
Ratio = 4:3
Hence the ratio of circle A to Circle B is 4:3
