○=> Correct option :
[tex] \color{plum}\bold{(C)} [/tex] Diameter of circle P is the same length as the radius of circle Q.
○=> Steps to derive correct option :
Given :
Diameter of circle P = 26 cm
Radius of circle P :
[tex] =\tt \frac{diameter}{2} [/tex]
[tex] = \tt \frac{26}{2} [/tex]
[tex]\color{plum} = \tt13 \: cm[/tex]
Thus, radius of circle P = 13 cm
Diameter of circle Q = 52 cm
Radius of circle Q :
[tex] = \tt \frac{diameter}{2} [/tex]
[tex] =\tt \frac{52}{2} [/tex]
[tex] \color{plum}= \tt26 \: cm[/tex]
Thus, radius of circle Q = 26 cm
Radius of circle R = 52 cm
Diameter of circle R :
[tex] =\tt radius \times 2[/tex]
[tex] =\tt 52 \times 2[/tex]
[tex]\color{plum} = \tt104 \: cm[/tex]
Thus, the diameter of circle R = 104 cm
☆ Conclusion :
▪︎Diameter of circle P is the same length as the radius of circle Q.
Therefore, the correct option is (C) Diameter of circle P is the same length as the radius of circle Q.
