Answer: 74.98cm
Step-by-step explanation:
Step 1: Find out radius of Circle A. [We use circumference of circle A to find its radius].
Circumference of circle A = 2πr; where r is radius.
To better viewing we change sides, we get:
2πr = Circumference of circle A
2πr = 25
r = [tex]\frac{25}{2\pi }[/tex]
r = [tex]\frac{25}{3.14}[/tex]
r ≈ 3.98
Step 2: Calculate the diameter of circle A.
diameter of circle A = 2r = 2(3.98) = 7.96
Step 3: Finding diameter of circle B.
diameter of circle B = 3(diameter of circle A) = 3(7.96) = 23.88
Step 4: Converted diameter of circle B to r.
diameter of circle B = 2r
23.88 = 2r
divided 2 from both sides, we get:
11.94 = r
Step 5: Substitute radius of circle B into the circumference formula, where C = 2πr.
C = 2πr
C = 2(3.14)(11.94)
C ≈ 74.98
