Question

1. which two figures represent circles of the same size?

22.5
c
22
d
45
g
c and d
c and g
none of them.
d and g

Explanation:

Step1: Recall circle size relation

The size of a circle is determined by its radius (or diameter, since diameter \(d = 2r\)). For two circles to be the same size, their radii (or diameters) must be equal.

Step2: Analyze each circle's radius/diameter

• Circle \(C\): Radius \(r_C = 22.5\), so diameter \(d_C = 2\times22.5 = 45\).
• Circle \(D\): Radius \(r_D = 22\), so diameter \(d_D = 2\times22 = 44\).
• Circle \(G\): Diameter \(d_G = 45\) (given as the length of the horizontal line through the center), so radius \(r_G = \frac{45}{2}=22.5\).

Step3: Compare sizes

Circle \(C\) has diameter \(45\) (radius \(22.5\)) and Circle \(G\) has diameter \(45\) (radius \(22.5\)). So their diameters (and radii) are equal, meaning they are the same size.

Answer:

B. C and G