The circumference of each of the two circles is 132 cm. Calculate the circumference of the circle with radius AB.
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2
Answer:
A, B and C be the circumference of circle A, B and C respectively.
A = 132cm
since the sum of circumference B and C is equal to circumference A, thus,
B + C = A
B + C = 132 ----------- eqn(1)
radius of B, rB = 14
B = 2πrB
= 2 x π x 14
= 28π
eqn(1) becomes:
28π + C = 132
subtract 28π from both sides
C = 132 - 28π
C = 44.0354
Also, C = 2πrc
44.0354 = 2πrc
divide both sides by 2π
rc = 44.0354/2π
rc = 7cm
Therefore, the radius of circumference C is 7cm
Answered by
0
Answer:
radius is 7
Step-by-step explanation:
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